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Finding the Fourth Proportional to 16,300.20, 24,449.49 and 5,766.96

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Solution

The fourth proportional to 16,300.20, 24,449.49 and 5,766.96 is: 8,650.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,300.20 : 24,449.49 = 5,766.96 : x
  2. Step 2: Convert to fraction form
    16,300.20/24,449.49 = 5,766.96/x
  3. Step 3: Cross multiply
    16,300.20x = 24,449.49 × 5,766.96
  4. Step 4: Simplify right side
    16,300.20x = 140,999,230.85
  5. Step 5: Solve for x
    x = 140,999,230.85/16,300.20
  6. Step 6: Final answer
    x = 8,650.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.