Finding the Fourth Proportional to 30,144, 45,216 and 11,676
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Solution
The fourth proportional to 30,144, 45,216 and 11,676 is: 17,514
Step by Step Solution
- Step 1: Write the proportion equation
30,144 : 45,216 = 11,676 : x - Step 2: Convert to fraction form
30,144/45,216 = 11,676/x - Step 3: Cross multiply
30,144x = 45,216 × 11,676 - Step 4: Simplify right side
30,144x = 527,942,016 - Step 5: Solve for x
x = 527,942,016/30,144 - Step 6: Final answer
x = 17,514
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.