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Finding the Fourth Proportional to 27,072.85, 40,614.41 and 12,282.97

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Solution

The fourth proportional to 27,072.85, 40,614.41 and 12,282.97 is: 18,426.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,072.85 : 40,614.41 = 12,282.97 : x
  2. Step 2: Convert to fraction form
    27,072.85/40,614.41 = 12,282.97/x
  3. Step 3: Cross multiply
    27,072.85x = 40,614.41 × 12,282.97
  4. Step 4: Simplify right side
    27,072.85x = 498,865,508.77
  5. Step 5: Solve for x
    x = 498,865,508.77/27,072.85
  6. Step 6: Final answer
    x = 18,426.78

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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.