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Finding the Fourth Proportional to 17,944.74, 26,892.42 and 9,161.22

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Solution

The fourth proportional to 17,944.74, 26,892.42 and 9,161.22 is: 13,729.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,944.74 : 26,892.42 = 9,161.22 : x
  2. Step 2: Convert to fraction form
    17,944.74/26,892.42 = 9,161.22/x
  3. Step 3: Cross multiply
    17,944.74x = 26,892.42 × 9,161.22
  4. Step 4: Simplify right side
    17,944.74x = 246,367,375.95
  5. Step 5: Solve for x
    x = 246,367,375.95/17,944.74
  6. Step 6: Final answer
    x = 13,729.23

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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.