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Finding the Fourth Proportional to 17,278.26, 23,843.88 and 9,724.20

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Solution

The fourth proportional to 17,278.26, 23,843.88 and 9,724.20 is: 13,419.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,278.26 : 23,843.88 = 9,724.20 : x
  2. Step 2: Convert to fraction form
    17,278.26/23,843.88 = 9,724.20/x
  3. Step 3: Cross multiply
    17,278.26x = 23,843.88 × 9,724.20
  4. Step 4: Simplify right side
    17,278.26x = 231,862,657.90
  5. Step 5: Solve for x
    x = 231,862,657.90/17,278.26
  6. Step 6: Final answer
    x = 13,419.33

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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.