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Finding the Fourth Proportional to 27,712.80, 38,234.18 and 15,773.16

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Solution

The fourth proportional to 27,712.80, 38,234.18 and 15,773.16 is: 21,761.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,712.80 : 38,234.18 = 15,773.16 : x
  2. Step 2: Convert to fraction form
    27,712.80/38,234.18 = 15,773.16/x
  3. Step 3: Cross multiply
    27,712.80x = 38,234.18 × 15,773.16
  4. Step 4: Simplify right side
    27,712.80x = 603,073,838.61
  5. Step 5: Solve for x
    x = 603,073,838.61/27,712.80
  6. Step 6: Final answer
    x = 21,761.56

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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.