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Finding the Fourth Proportional to 27,202.92, 40,793.46 and 8,476.80

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Solution

The fourth proportional to 27,202.92, 40,793.46 and 8,476.80 is: 12,711.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,202.92 : 40,793.46 = 8,476.80 : x
  2. Step 2: Convert to fraction form
    27,202.92/40,793.46 = 8,476.80/x
  3. Step 3: Cross multiply
    27,202.92x = 40,793.46 × 8,476.80
  4. Step 4: Simplify right side
    27,202.92x = 345,798,001.73
  5. Step 5: Solve for x
    x = 345,798,001.73/27,202.92
  6. Step 6: Final answer
    x = 12,711.80

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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.