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Finding the Fourth Proportional to 23,474.50, 32,394.82 and 12,864.56

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Solution

The fourth proportional to 23,474.50, 32,394.82 and 12,864.56 is: 17,753.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,474.50 : 32,394.82 = 12,864.56 : x
  2. Step 2: Convert to fraction form
    23,474.50/32,394.82 = 12,864.56/x
  3. Step 3: Cross multiply
    23,474.50x = 32,394.82 × 12,864.56
  4. Step 4: Simplify right side
    23,474.50x = 416,745,105.58
  5. Step 5: Solve for x
    x = 416,745,105.58/23,474.50
  6. Step 6: Final answer
    x = 17,753.10

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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.