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Finding the Fourth Proportional to 12,149.08, 18,217.31 and 5,569.60

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Solution

The fourth proportional to 12,149.08, 18,217.31 and 5,569.60 is: 8,351.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,149.08 : 18,217.31 = 5,569.60 : x
  2. Step 2: Convert to fraction form
    12,149.08/18,217.31 = 5,569.60/x
  3. Step 3: Cross multiply
    12,149.08x = 18,217.31 × 5,569.60
  4. Step 4: Simplify right side
    12,149.08x = 101,463,052.61
  5. Step 5: Solve for x
    x = 101,463,052.61/12,149.08
  6. Step 6: Final answer
    x = 8,351.50

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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.