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Finding the Fourth Proportional to 12,013.50, 18,020.49 and 3,249.18

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Solution

The fourth proportional to 12,013.50, 18,020.49 and 3,249.18 is: 4,873.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,013.50 : 18,020.49 = 3,249.18 : x
  2. Step 2: Convert to fraction form
    12,013.50/18,020.49 = 3,249.18/x
  3. Step 3: Cross multiply
    12,013.50x = 18,020.49 × 3,249.18
  4. Step 4: Simplify right side
    12,013.50x = 58,551,815.70
  5. Step 5: Solve for x
    x = 58,551,815.70/12,013.50
  6. Step 6: Final answer
    x = 4,873.83

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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.