Chapter 4 - Proportions, Percents, and Solving Inequalities - 4.1 - Ratios and Proportions - Problem Set 4.1 - Page 148: 24

$n=14$

Using cross-multiplication and the properties of equality, the value of the variable that satisfies the given equation, $ \dfrac{7}{8}=\dfrac{n}{16} ,$ is \begin{array}{l}\require{cancel} 7(16)=8(n) \\\\ 112=8n \\\\ \dfrac{112}{8}=n \\\\ 14=n \\\\ n=14 .\end{array}