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Finding the Fourth Proportional to 20,489.39, 30,735.32 and 6,449.87

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Solution

The fourth proportional to 20,489.39, 30,735.32 and 6,449.87 is: 9,675.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,489.39 : 30,735.32 = 6,449.87 : x
  2. Step 2: Convert to fraction form
    20,489.39/30,735.32 = 6,449.87/x
  3. Step 3: Cross multiply
    20,489.39x = 30,735.32 × 6,449.87
  4. Step 4: Simplify right side
    20,489.39x = 198,238,863.00
  5. Step 5: Solve for x
    x = 198,238,863.00/20,489.39
  6. Step 6: Final answer
    x = 9,675.20

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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.