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Finding the Fourth Proportional to 12,493.52, 18,745.48 and 5,469.92

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Solution

The fourth proportional to 12,493.52, 18,745.48 and 5,469.92 is: 8,207.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,493.52 : 18,745.48 = 5,469.92 : x
  2. Step 2: Convert to fraction form
    12,493.52/18,745.48 = 5,469.92/x
  3. Step 3: Cross multiply
    12,493.52x = 18,745.48 × 5,469.92
  4. Step 4: Simplify right side
    12,493.52x = 102,536,228.60
  5. Step 5: Solve for x
    x = 102,536,228.60/12,493.52
  6. Step 6: Final answer
    x = 8,207.15

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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.