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Finding the Fourth Proportional to 25,737.74, 38,614.45 and 12,588.20

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Solution

The fourth proportional to 25,737.74, 38,614.45 and 12,588.20 is: 18,886.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,737.74 : 38,614.45 = 12,588.20 : x
  2. Step 2: Convert to fraction form
    25,737.74/38,614.45 = 12,588.20/x
  3. Step 3: Cross multiply
    25,737.74x = 38,614.45 × 12,588.20
  4. Step 4: Simplify right side
    25,737.74x = 486,086,419.49
  5. Step 5: Solve for x
    x = 486,086,419.49/25,737.74
  6. Step 6: Final answer
    x = 18,886.13

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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.