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Finding the Fourth Proportional to 20,489.64, 30,728.39 and 8,800.13

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Solution

The fourth proportional to 20,489.64, 30,728.39 and 8,800.13 is: 13,197.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,489.64 : 30,728.39 = 8,800.13 : x
  2. Step 2: Convert to fraction form
    20,489.64/30,728.39 = 8,800.13/x
  3. Step 3: Cross multiply
    20,489.64x = 30,728.39 × 8,800.13
  4. Step 4: Simplify right side
    20,489.64x = 270,413,629.05
  5. Step 5: Solve for x
    x = 270,413,629.05/20,489.64
  6. Step 6: Final answer
    x = 13,197.58

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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.