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Finding the Fourth Proportional to 23,115.97, 31,885 and 14,160.21

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Solution

The fourth proportional to 23,115.97, 31,885 and 14,160.21 is: 19,531.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,115.97 : 31,885 = 14,160.21 : x
  2. Step 2: Convert to fraction form
    23,115.97/31,885 = 14,160.21/x
  3. Step 3: Cross multiply
    23,115.97x = 31,885 × 14,160.21
  4. Step 4: Simplify right side
    23,115.97x = 451,498,295.85
  5. Step 5: Solve for x
    x = 451,498,295.85/23,115.97
  6. Step 6: Final answer
    x = 19,531.88

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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.