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Finding the Fourth Proportional to 27,174.38, 40,767.36 and 8,453.96

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Solution

The fourth proportional to 27,174.38, 40,767.36 and 8,453.96 is: 12,682.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,174.38 : 40,767.36 = 8,453.96 : x
  2. Step 2: Convert to fraction form
    27,174.38/40,767.36 = 8,453.96/x
  3. Step 3: Cross multiply
    27,174.38x = 40,767.36 × 8,453.96
  4. Step 4: Simplify right side
    27,174.38x = 344,645,630.75
  5. Step 5: Solve for x
    x = 344,645,630.75/27,174.38
  6. Step 6: Final answer
    x = 12,682.74

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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.