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Finding the Fourth Proportional to 16,131, 24,170.99 and 12,442.26

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Solution

The fourth proportional to 16,131, 24,170.99 and 12,442.26 is: 18,643.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,131 : 24,170.99 = 12,442.26 : x
  2. Step 2: Convert to fraction form
    16,131/24,170.99 = 12,442.26/x
  3. Step 3: Cross multiply
    16,131x = 24,170.99 × 12,442.26
  4. Step 4: Simplify right side
    16,131x = 300,741,742.04
  5. Step 5: Solve for x
    x = 300,741,742.04/16,131
  6. Step 6: Final answer
    x = 18,643.71

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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.