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Finding the Fourth Proportional to 17,722.20, 24,452.22 and 11,427

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Solution

The fourth proportional to 17,722.20, 24,452.22 and 11,427 is: 15,766.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,722.20 : 24,452.22 = 11,427 : x
  2. Step 2: Convert to fraction form
    17,722.20/24,452.22 = 11,427/x
  3. Step 3: Cross multiply
    17,722.20x = 24,452.22 × 11,427
  4. Step 4: Simplify right side
    17,722.20x = 279,415,517.94
  5. Step 5: Solve for x
    x = 279,415,517.94/17,722.20
  6. Step 6: Final answer
    x = 15,766.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.