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Finding the Fourth Proportional to 17,098.44, 23,593.18 and 9,544.38

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Solution

The fourth proportional to 17,098.44, 23,593.18 and 9,544.38 is: 13,169.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,098.44 : 23,593.18 = 9,544.38 : x
  2. Step 2: Convert to fraction form
    17,098.44/23,593.18 = 9,544.38/x
  3. Step 3: Cross multiply
    17,098.44x = 23,593.18 × 9,544.38
  4. Step 4: Simplify right side
    17,098.44x = 225,182,275.33
  5. Step 5: Solve for x
    x = 225,182,275.33/17,098.44
  6. Step 6: Final answer
    x = 13,169.76

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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.