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Finding the Fourth Proportional to 16,375.20, 24,550.80 and 6,509.60

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Solution

The fourth proportional to 16,375.20, 24,550.80 and 6,509.60 is: 9,759.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,375.20 : 24,550.80 = 6,509.60 : x
  2. Step 2: Convert to fraction form
    16,375.20/24,550.80 = 6,509.60/x
  3. Step 3: Cross multiply
    16,375.20x = 24,550.80 × 6,509.60
  4. Step 4: Simplify right side
    16,375.20x = 159,815,887.68
  5. Step 5: Solve for x
    x = 159,815,887.68/16,375.20
  6. Step 6: Final answer
    x = 9,759.63

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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.