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Finding the Fourth Proportional to 12,463.62, 18,695.19 and 3,229.38

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Solution

The fourth proportional to 12,463.62, 18,695.19 and 3,229.38 is: 4,844.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,463.62 : 18,695.19 = 3,229.38 : x
  2. Step 2: Convert to fraction form
    12,463.62/18,695.19 = 3,229.38/x
  3. Step 3: Cross multiply
    12,463.62x = 18,695.19 × 3,229.38
  4. Step 4: Simplify right side
    12,463.62x = 60,373,872.68
  5. Step 5: Solve for x
    x = 60,373,872.68/12,463.62
  6. Step 6: Final answer
    x = 4,844.01

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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.