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Finding the Fourth Proportional to 22,753.49, 34,129.89 and 13,871.43

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Solution

The fourth proportional to 22,753.49, 34,129.89 and 13,871.43 is: 20,806.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,753.49 : 34,129.89 = 13,871.43 : x
  2. Step 2: Convert to fraction form
    22,753.49/34,129.89 = 13,871.43/x
  3. Step 3: Cross multiply
    22,753.49x = 34,129.89 × 13,871.43
  4. Step 4: Simplify right side
    22,753.49x = 473,430,380.04
  5. Step 5: Solve for x
    x = 473,430,380.04/22,753.49
  6. Step 6: Final answer
    x = 20,806.94

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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.