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Finding the Fourth Proportional to 20,149.70, 30,188.10 and 16,431.80

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Solution

The fourth proportional to 20,149.70, 30,188.10 and 16,431.80 is: 24,617.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,149.70 : 30,188.10 = 16,431.80 : x
  2. Step 2: Convert to fraction form
    20,149.70/30,188.10 = 16,431.80/x
  3. Step 3: Cross multiply
    20,149.70x = 30,188.10 × 16,431.80
  4. Step 4: Simplify right side
    20,149.70x = 496,044,821.58
  5. Step 5: Solve for x
    x = 496,044,821.58/20,149.70
  6. Step 6: Final answer
    x = 24,617.98

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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.