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Finding the Fourth Proportional to 16,181.50, 24,272.22 and 9,251.14

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Solution

The fourth proportional to 16,181.50, 24,272.22 and 9,251.14 is: 13,876.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,181.50 : 24,272.22 = 9,251.14 : x
  2. Step 2: Convert to fraction form
    16,181.50/24,272.22 = 9,251.14/x
  3. Step 3: Cross multiply
    16,181.50x = 24,272.22 × 9,251.14
  4. Step 4: Simplify right side
    16,181.50x = 224,545,705.33
  5. Step 5: Solve for x
    x = 224,545,705.33/16,181.50
  6. Step 6: Final answer
    x = 13,876.69

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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.