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Finding the Fourth Proportional to 31,660.39, 43,691.16 and 17,512.93

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Solution

The fourth proportional to 31,660.39, 43,691.16 and 17,512.93 is: 24,167.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,660.39 : 43,691.16 = 17,512.93 : x
  2. Step 2: Convert to fraction form
    31,660.39/43,691.16 = 17,512.93/x
  3. Step 3: Cross multiply
    31,660.39x = 43,691.16 × 17,512.93
  4. Step 4: Simplify right side
    31,660.39x = 765,160,226.70
  5. Step 5: Solve for x
    x = 765,160,226.70/31,660.39
  6. Step 6: Final answer
    x = 24,167.74

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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.