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Finding the Fourth Proportional to 27,170.38, 40,761.30 and 8,449.96

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Solution

The fourth proportional to 27,170.38, 40,761.30 and 8,449.96 is: 12,676.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,170.38 : 40,761.30 = 8,449.96 : x
  2. Step 2: Convert to fraction form
    27,170.38/40,761.30 = 8,449.96/x
  3. Step 3: Cross multiply
    27,170.38x = 40,761.30 × 8,449.96
  4. Step 4: Simplify right side
    27,170.38x = 344,431,354.55
  5. Step 5: Solve for x
    x = 344,431,354.55/27,170.38
  6. Step 6: Final answer
    x = 12,676.72

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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.