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Finding the Fourth Proportional to 23,512.52, 32,447.57 and 12,757.46

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Solution

The fourth proportional to 23,512.52, 32,447.57 and 12,757.46 is: 17,605.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,512.52 : 32,447.57 = 12,757.46 : x
  2. Step 2: Convert to fraction form
    23,512.52/32,447.57 = 12,757.46/x
  3. Step 3: Cross multiply
    23,512.52x = 32,447.57 × 12,757.46
  4. Step 4: Simplify right side
    23,512.52x = 413,948,576.37
  5. Step 5: Solve for x
    x = 413,948,576.37/23,512.52
  6. Step 6: Final answer
    x = 17,605.45

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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.