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Finding the Fourth Proportional to 20,408.48, 30,584 and 16,229.92

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Solution

The fourth proportional to 20,408.48, 30,584 and 16,229.92 is: 24,322.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,408.48 : 30,584 = 16,229.92 : x
  2. Step 2: Convert to fraction form
    20,408.48/30,584 = 16,229.92/x
  3. Step 3: Cross multiply
    20,408.48x = 30,584 × 16,229.92
  4. Step 4: Simplify right side
    20,408.48x = 496,375,873.28
  5. Step 5: Solve for x
    x = 496,375,873.28/20,408.48
  6. Step 6: Final answer
    x = 24,322.04

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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.