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Finding the Fourth Proportional to 17,195.52, 23,732.16 and 9,744

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Solution

The fourth proportional to 17,195.52, 23,732.16 and 9,744 is: 13,448.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,195.52 : 23,732.16 = 9,744 : x
  2. Step 2: Convert to fraction form
    17,195.52/23,732.16 = 9,744/x
  3. Step 3: Cross multiply
    17,195.52x = 23,732.16 × 9,744
  4. Step 4: Simplify right side
    17,195.52x = 231,246,167.04
  5. Step 5: Solve for x
    x = 231,246,167.04/17,195.52
  6. Step 6: Final answer
    x = 13,448.05

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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.