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Finding the Fourth Proportional to 27,711.76, 41,593.56 and 13,687.62

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Solution

The fourth proportional to 27,711.76, 41,593.56 and 13,687.62 is: 20,544.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,711.76 : 41,593.56 = 13,687.62 : x
  2. Step 2: Convert to fraction form
    27,711.76/41,593.56 = 13,687.62/x
  3. Step 3: Cross multiply
    27,711.76x = 41,593.56 × 13,687.62
  4. Step 4: Simplify right side
    27,711.76x = 569,316,843.73
  5. Step 5: Solve for x
    x = 569,316,843.73/27,711.76
  6. Step 6: Final answer
    x = 20,544.23

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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.