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Finding the Fourth Proportional to 23,654.49, 32,642.50 and 13,044.12

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Solution

The fourth proportional to 23,654.49, 32,642.50 and 13,044.12 is: 18,000.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,654.49 : 32,642.50 = 13,044.12 : x
  2. Step 2: Convert to fraction form
    23,654.49/32,642.50 = 13,044.12/x
  3. Step 3: Cross multiply
    23,654.49x = 32,642.50 × 13,044.12
  4. Step 4: Simplify right side
    23,654.49x = 425,792,687.10
  5. Step 5: Solve for x
    x = 425,792,687.10/23,654.49
  6. Step 6: Final answer
    x = 18,000.50

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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.