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Finding the Fourth Proportional to 24,517.31, 33,833.57 and 14,446.17

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Solution

The fourth proportional to 24,517.31, 33,833.57 and 14,446.17 is: 19,935.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,517.31 : 33,833.57 = 14,446.17 : x
  2. Step 2: Convert to fraction form
    24,517.31/33,833.57 = 14,446.17/x
  3. Step 3: Cross multiply
    24,517.31x = 33,833.57 × 14,446.17
  4. Step 4: Simplify right side
    24,517.31x = 488,765,431.70
  5. Step 5: Solve for x
    x = 488,765,431.70/24,517.31
  6. Step 6: Final answer
    x = 19,935.53

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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.