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Finding the Fourth Proportional to 38,834.60, 58,253.10 and 12,542

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Solution

The fourth proportional to 38,834.60, 58,253.10 and 12,542 is: 18,813.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,834.60 : 58,253.10 = 12,542 : x
  2. Step 2: Convert to fraction form
    38,834.60/58,253.10 = 12,542/x
  3. Step 3: Cross multiply
    38,834.60x = 58,253.10 × 12,542
  4. Step 4: Simplify right side
    38,834.60x = 730,610,380.20
  5. Step 5: Solve for x
    x = 730,610,380.20/38,834.60
  6. Step 6: Final answer
    x = 18,813.39

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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.