Question

type the correct answer in the box. use numbers instead of words.
a proportion is shown.
\\(\frac{38}{19} = \frac{32}{n}\\)
what is the value of \\(n\\)?
\\(n = \square\\)

Explanation:

Step1: Cross - multiply the proportion

Given the proportion \(\frac{38}{19}=\frac{32}{n}\), cross - multiplying gives \(38\times n = 19\times32\).

Step2: Simplify the right - hand side

First, calculate \(19\times32 = 608\). So the equation becomes \(38n=608\).

Step3: Solve for \(n\)

Divide both sides of the equation \(38n = 608\) by 38. \(n=\frac{608}{38}\). Since \(608\div38 = 16\), we get \(n = 16\).

Answer:

16