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Finding the Fourth Proportional to 15,163.72, 22,747.98 and 4,772.20

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Solution

The fourth proportional to 15,163.72, 22,747.98 and 4,772.20 is: 7,159.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,163.72 : 22,747.98 = 4,772.20 : x
  2. Step 2: Convert to fraction form
    15,163.72/22,747.98 = 4,772.20/x
  3. Step 3: Cross multiply
    15,163.72x = 22,747.98 × 4,772.20
  4. Step 4: Simplify right side
    15,163.72x = 108,557,910.16
  5. Step 5: Solve for x
    x = 108,557,910.16/15,163.72
  6. Step 6: Final answer
    x = 7,159.06

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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.