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Finding the Fourth Proportional to 23,344.57, 32,215.61 and 12,734.42

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Solution

The fourth proportional to 23,344.57, 32,215.61 and 12,734.42 is: 17,573.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,344.57 : 32,215.61 = 12,734.42 : x
  2. Step 2: Convert to fraction form
    23,344.57/32,215.61 = 12,734.42/x
  3. Step 3: Cross multiply
    23,344.57x = 32,215.61 × 12,734.42
  4. Step 4: Simplify right side
    23,344.57x = 410,247,125.16
  5. Step 5: Solve for x
    x = 410,247,125.16/23,344.57
  6. Step 6: Final answer
    x = 17,573.56

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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.