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Finding the Fourth Proportional to 17,344.97, 23,934.69 and 9,793.14

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Solution

The fourth proportional to 17,344.97, 23,934.69 and 9,793.14 is: 13,513.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,344.97 : 23,934.69 = 9,793.14 : x
  2. Step 2: Convert to fraction form
    17,344.97/23,934.69 = 9,793.14/x
  3. Step 3: Cross multiply
    17,344.97x = 23,934.69 × 9,793.14
  4. Step 4: Simplify right side
    17,344.97x = 234,395,770.03
  5. Step 5: Solve for x
    x = 234,395,770.03/17,344.97
  6. Step 6: Final answer
    x = 13,513.76

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