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Finding the Fourth Proportional to 17,644.92, 24,351.24 and 11,666.20

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Solution

The fourth proportional to 17,644.92, 24,351.24 and 11,666.20 is: 16,100.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,644.92 : 24,351.24 = 11,666.20 : x
  2. Step 2: Convert to fraction form
    17,644.92/24,351.24 = 11,666.20/x
  3. Step 3: Cross multiply
    17,644.92x = 24,351.24 × 11,666.20
  4. Step 4: Simplify right side
    17,644.92x = 284,086,436.09
  5. Step 5: Solve for x
    x = 284,086,436.09/17,644.92
  6. Step 6: Final answer
    x = 16,100.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.