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Finding the Fourth Proportional to 12,163.50, 18,246.42 and 5,591.52

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Solution

The fourth proportional to 12,163.50, 18,246.42 and 5,591.52 is: 8,387.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,163.50 : 18,246.42 = 5,591.52 : x
  2. Step 2: Convert to fraction form
    12,163.50/18,246.42 = 5,591.52/x
  3. Step 3: Cross multiply
    12,163.50x = 18,246.42 × 5,591.52
  4. Step 4: Simplify right side
    12,163.50x = 102,025,222.36
  5. Step 5: Solve for x
    x = 102,025,222.36/12,163.50
  6. Step 6: Final answer
    x = 8,387.82

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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.