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Finding the Fourth Proportional to 25,737.34, 38,593.68 and 12,574.30

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Solution

The fourth proportional to 25,737.34, 38,593.68 and 12,574.30 is: 18,855.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,737.34 : 38,593.68 = 12,574.30 : x
  2. Step 2: Convert to fraction form
    25,737.34/38,593.68 = 12,574.30/x
  3. Step 3: Cross multiply
    25,737.34x = 38,593.68 × 12,574.30
  4. Step 4: Simplify right side
    25,737.34x = 485,288,510.42
  5. Step 5: Solve for x
    x = 485,288,510.42/25,737.34
  6. Step 6: Final answer
    x = 18,855.43

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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.