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Finding the Fourth Proportional to 22,781.92, 34,152.72 and 12,257.60

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Solution

The fourth proportional to 22,781.92, 34,152.72 and 12,257.60 is: 18,375.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,781.92 : 34,152.72 = 12,257.60 : x
  2. Step 2: Convert to fraction form
    22,781.92/34,152.72 = 12,257.60/x
  3. Step 3: Cross multiply
    22,781.92x = 34,152.72 × 12,257.60
  4. Step 4: Simplify right side
    22,781.92x = 418,630,380.67
  5. Step 5: Solve for x
    x = 418,630,380.67/22,781.92
  6. Step 6: Final answer
    x = 18,375.55

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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.