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Finding the Fourth Proportional to 23,654.66, 32,642.20 and 14,701.97

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Solution

The fourth proportional to 23,654.66, 32,642.20 and 14,701.97 is: 20,287.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,654.66 : 32,642.20 = 14,701.97 : x
  2. Step 2: Convert to fraction form
    23,654.66/32,642.20 = 14,701.97/x
  3. Step 3: Cross multiply
    23,654.66x = 32,642.20 × 14,701.97
  4. Step 4: Simplify right side
    23,654.66x = 479,904,645.13
  5. Step 5: Solve for x
    x = 479,904,645.13/23,654.66
  6. Step 6: Final answer
    x = 20,287.95

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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.