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Finding the Fourth Proportional to 17,282.26, 23,849.39 and 9,728.68

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Solution

The fourth proportional to 17,282.26, 23,849.39 and 9,728.68 is: 13,425.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,282.26 : 23,849.39 = 9,728.68 : x
  2. Step 2: Convert to fraction form
    17,282.26/23,849.39 = 9,728.68/x
  3. Step 3: Cross multiply
    17,282.26x = 23,849.39 × 9,728.68
  4. Step 4: Simplify right side
    17,282.26x = 232,023,105.27
  5. Step 5: Solve for x
    x = 232,023,105.27/17,282.26
  6. Step 6: Final answer
    x = 13,425.51

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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.