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Finding the Fourth Proportional to 12,531.92, 18,793.56 and 4,322

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Solution

The fourth proportional to 12,531.92, 18,793.56 and 4,322 is: 6,481.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,531.92 : 18,793.56 = 4,322 : x
  2. Step 2: Convert to fraction form
    12,531.92/18,793.56 = 4,322/x
  3. Step 3: Cross multiply
    12,531.92x = 18,793.56 × 4,322
  4. Step 4: Simplify right side
    12,531.92x = 81,225,766.32
  5. Step 5: Solve for x
    x = 81,225,766.32/12,531.92
  6. Step 6: Final answer
    x = 6,481.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.