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Finding the Fourth Proportional to 12,081.10, 18,121.65 and 8,581.90

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Solution

The fourth proportional to 12,081.10, 18,121.65 and 8,581.90 is: 12,872.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,081.10 : 18,121.65 = 8,581.90 : x
  2. Step 2: Convert to fraction form
    12,081.10/18,121.65 = 8,581.90/x
  3. Step 3: Cross multiply
    12,081.10x = 18,121.65 × 8,581.90
  4. Step 4: Simplify right side
    12,081.10x = 155,518,188.14
  5. Step 5: Solve for x
    x = 155,518,188.14/12,081.10
  6. Step 6: Final answer
    x = 12,872.85

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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.