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Finding the Fourth Proportional to 12,115.23, 18,171.49 and 3,349

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Solution

The fourth proportional to 12,115.23, 18,171.49 and 3,349 is: 5,023.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,115.23 : 18,171.49 = 3,349 : x
  2. Step 2: Convert to fraction form
    12,115.23/18,171.49 = 3,349/x
  3. Step 3: Cross multiply
    12,115.23x = 18,171.49 × 3,349
  4. Step 4: Simplify right side
    12,115.23x = 60,856,320.01
  5. Step 5: Solve for x
    x = 60,856,320.01/12,115.23
  6. Step 6: Final answer
    x = 5,023.13

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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.