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Finding the Fourth Proportional to 13,452.92, 20,198.10 and 6,883.64

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Solution

The fourth proportional to 13,452.92, 20,198.10 and 6,883.64 is: 10,335.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,452.92 : 20,198.10 = 6,883.64 : x
  2. Step 2: Convert to fraction form
    13,452.92/20,198.10 = 6,883.64/x
  3. Step 3: Cross multiply
    13,452.92x = 20,198.10 × 6,883.64
  4. Step 4: Simplify right side
    13,452.92x = 139,036,449.08
  5. Step 5: Solve for x
    x = 139,036,449.08/13,452.92
  6. Step 6: Final answer
    x = 10,335.04

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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.