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Finding the Fourth Proportional to 23,654.80, 32,643.84 and 13,044.16

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Solution

The fourth proportional to 23,654.80, 32,643.84 and 13,044.16 is: 18,001.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,654.80 : 32,643.84 = 13,044.16 : x
  2. Step 2: Convert to fraction form
    23,654.80/32,643.84 = 13,044.16/x
  3. Step 3: Cross multiply
    23,654.80x = 32,643.84 × 13,044.16
  4. Step 4: Simplify right side
    23,654.80x = 425,811,471.97
  5. Step 5: Solve for x
    x = 425,811,471.97/23,654.80
  6. Step 6: Final answer
    x = 18,001.06

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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.