Question

do the ratios 18:14 and 17:12 form a proportion? yes no

Explanation:

Step1: Recall proportion definition

A proportion exists if two ratios are equal, i.e., \(\frac{a}{b}=\frac{c}{d}\) implies \(a\times d = b\times c\).

Step2: Calculate cross - products

For ratios \(18:14\) (i.e., \(\frac{18}{14}\)) and \(17:12\) (i.e., \(\frac{17}{12}\)):
Cross - product 1: \(18\times12 = 216\)
Cross - product 2: \(14\times17=238\)

Step3: Compare cross - products

Since \(216
eq238\), the ratios are not equal.

Answer:

no