To solve: The proportion \frac{24}{n}=\frac{\frac{8}{15}}{\frac{5}{9}} for the given variable n.

Rui Baldwin

Rui Baldwin

Answered question

2021-08-13

To solve: The proportion 24n=81559 for the given variable n.

Answer & Explanation

pierretteA

pierretteA

Skilled2021-08-14Added 102 answers

Approach:
If two ratios are equal then it is a proportion. If pq and rs are two ratios, then pq=rs is a proportion.
Ex: 34=1520
For finding unknown numbers in proportions, we use cross product to find the unknown number.
Ex: 27=x14
Here in the example x is the unknown number. To calculate the value of x, we use the cross product.
Calculation:
Given 24n=81559
Apply the cross product in order to find the unknown number.
24×59=n×815
Cancel out the common factors.
403=8n15
Multiply both the sides by 158
403×158=8n15×158
Cancel out common factors
25=n
Final statement: The solution for the proportion 24n=81559 for the indicated variable is n=25
Jeffrey Jordon

Jeffrey Jordon

Expert2021-12-17Added 2605 answers

Answer is given below (on video)

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