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Finding the Fourth Proportional to 12,832.56, 17,708.10 and 7,454.52

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Solution

The fourth proportional to 12,832.56, 17,708.10 and 7,454.52 is: 10,286.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,832.56 : 17,708.10 = 7,454.52 : x
  2. Step 2: Convert to fraction form
    12,832.56/17,708.10 = 7,454.52/x
  3. Step 3: Cross multiply
    12,832.56x = 17,708.10 × 7,454.52
  4. Step 4: Simplify right side
    12,832.56x = 132,005,385.61
  5. Step 5: Solve for x
    x = 132,005,385.61/12,832.56
  6. Step 6: Final answer
    x = 10,286.75

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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.