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Finding the Fourth Proportional to 27,761.52, 38,311.20 and 15,186

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Solution

The fourth proportional to 27,761.52, 38,311.20 and 15,186 is: 20,956.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,761.52 : 38,311.20 = 15,186 : x
  2. Step 2: Convert to fraction form
    27,761.52/38,311.20 = 15,186/x
  3. Step 3: Cross multiply
    27,761.52x = 38,311.20 × 15,186
  4. Step 4: Simplify right side
    27,761.52x = 581,793,883.20
  5. Step 5: Solve for x
    x = 581,793,883.20/27,761.52
  6. Step 6: Final answer
    x = 20,956.85

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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.