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Finding the Fourth Proportional to 17,344, 26,022.84 and 9,018.80

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Solution

The fourth proportional to 17,344, 26,022.84 and 9,018.80 is: 13,531.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,344 : 26,022.84 = 9,018.80 : x
  2. Step 2: Convert to fraction form
    17,344/26,022.84 = 9,018.80/x
  3. Step 3: Cross multiply
    17,344x = 26,022.84 × 9,018.80
  4. Step 4: Simplify right side
    17,344x = 234,694,789.39
  5. Step 5: Solve for x
    x = 234,694,789.39/17,344
  6. Step 6: Final answer
    x = 13,531.76

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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.