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Finding the Fourth Proportional to 25,737.24, 38,613.70 and 12,587.70

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Solution

The fourth proportional to 25,737.24, 38,613.70 and 12,587.70 is: 18,885.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,737.24 : 38,613.70 = 12,587.70 : x
  2. Step 2: Convert to fraction form
    25,737.24/38,613.70 = 12,587.70/x
  3. Step 3: Cross multiply
    25,737.24x = 38,613.70 × 12,587.70
  4. Step 4: Simplify right side
    25,737.24x = 486,057,671.49
  5. Step 5: Solve for x
    x = 486,057,671.49/25,737.24
  6. Step 6: Final answer
    x = 18,885.38

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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.