Finding the Fourth Proportional to 21,154, 31,731 and 8,842
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Solution
The fourth proportional to 21,154, 31,731 and 8,842 is: 13,263
Step by Step Solution
- Step 1: Write the proportion equation
21,154 : 31,731 = 8,842 : x - Step 2: Convert to fraction form
21,154/31,731 = 8,842/x - Step 3: Cross multiply
21,154x = 31,731 × 8,842 - Step 4: Simplify right side
21,154x = 280,565,502 - Step 5: Solve for x
x = 280,565,502/21,154 - Step 6: Final answer
x = 13,263
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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.