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Finding the Fourth Proportional to 27,414.68, 41,122.01 and 7,694.96

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Solution

The fourth proportional to 27,414.68, 41,122.01 and 7,694.96 is: 11,542.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,414.68 : 41,122.01 = 7,694.96 : x
  2. Step 2: Convert to fraction form
    27,414.68/41,122.01 = 7,694.96/x
  3. Step 3: Cross multiply
    27,414.68x = 41,122.01 × 7,694.96
  4. Step 4: Simplify right side
    27,414.68x = 316,432,035.70
  5. Step 5: Solve for x
    x = 316,432,035.70/27,414.68
  6. Step 6: Final answer
    x = 11,542.43

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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.