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Finding the Fourth Proportional to 27,711.80, 38,232.80 and 15,772.15

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Solution

The fourth proportional to 27,711.80, 38,232.80 and 15,772.15 is: 21,760.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,711.80 : 38,232.80 = 15,772.15 : x
  2. Step 2: Convert to fraction form
    27,711.80/38,232.80 = 15,772.15/x
  3. Step 3: Cross multiply
    27,711.80x = 38,232.80 × 15,772.15
  4. Step 4: Simplify right side
    27,711.80x = 603,013,456.52
  5. Step 5: Solve for x
    x = 603,013,456.52/27,711.80
  6. Step 6: Final answer
    x = 21,760.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.