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Finding the Fourth Proportional to 16,100.20, 24,128.70 and 8,311.24

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Solution

The fourth proportional to 16,100.20, 24,128.70 and 8,311.24 is: 12,455.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,100.20 : 24,128.70 = 8,311.24 : x
  2. Step 2: Convert to fraction form
    16,100.20/24,128.70 = 8,311.24/x
  3. Step 3: Cross multiply
    16,100.20x = 24,128.70 × 8,311.24
  4. Step 4: Simplify right side
    16,100.20x = 200,539,416.59
  5. Step 5: Solve for x
    x = 200,539,416.59/16,100.20
  6. Step 6: Final answer
    x = 12,455.71

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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.