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Finding the Fourth Proportional to 16,764.31, 25,149.71 and 6,375.25

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Solution

The fourth proportional to 16,764.31, 25,149.71 and 6,375.25 is: 9,564.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,764.31 : 25,149.71 = 6,375.25 : x
  2. Step 2: Convert to fraction form
    16,764.31/25,149.71 = 6,375.25/x
  3. Step 3: Cross multiply
    16,764.31x = 25,149.71 × 6,375.25
  4. Step 4: Simplify right side
    16,764.31x = 160,335,688.68
  5. Step 5: Solve for x
    x = 160,335,688.68/16,764.31
  6. Step 6: Final answer
    x = 9,564.11

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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.