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Finding the Fourth Proportional to 25,874.12, 38,793.90 and 8,098.76

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Solution

The fourth proportional to 25,874.12, 38,793.90 and 8,098.76 is: 12,142.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,874.12 : 38,793.90 = 8,098.76 : x
  2. Step 2: Convert to fraction form
    25,874.12/38,793.90 = 8,098.76/x
  3. Step 3: Cross multiply
    25,874.12x = 38,793.90 × 8,098.76
  4. Step 4: Simplify right side
    25,874.12x = 314,182,485.56
  5. Step 5: Solve for x
    x = 314,182,485.56/25,874.12
  6. Step 6: Final answer
    x = 12,142.73

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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.