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Finding the Fourth Proportional to 25,414.90, 38,105.73 and 12,254.83

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Solution

The fourth proportional to 25,414.90, 38,105.73 and 12,254.83 is: 18,374.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,414.90 : 38,105.73 = 12,254.83 : x
  2. Step 2: Convert to fraction form
    25,414.90/38,105.73 = 12,254.83/x
  3. Step 3: Cross multiply
    25,414.90x = 38,105.73 × 12,254.83
  4. Step 4: Simplify right side
    25,414.90x = 466,979,147.91
  5. Step 5: Solve for x
    x = 466,979,147.91/25,414.90
  6. Step 6: Final answer
    x = 18,374.23

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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.