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Finding the Fourth Proportional to 29,285.89, 40,414.46 and 15,857.15

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Solution

The fourth proportional to 29,285.89, 40,414.46 and 15,857.15 is: 21,882.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,285.89 : 40,414.46 = 15,857.15 : x
  2. Step 2: Convert to fraction form
    29,285.89/40,414.46 = 15,857.15/x
  3. Step 3: Cross multiply
    29,285.89x = 40,414.46 × 15,857.15
  4. Step 4: Simplify right side
    29,285.89x = 640,858,154.39
  5. Step 5: Solve for x
    x = 640,858,154.39/29,285.89
  6. Step 6: Final answer
    x = 21,882.83

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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.