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Finding the Fourth Proportional to 17,278.71, 23,843.07 and 9,725.64

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Solution

The fourth proportional to 17,278.71, 23,843.07 and 9,725.64 is: 13,420.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,278.71 : 23,843.07 = 9,725.64 : x
  2. Step 2: Convert to fraction form
    17,278.71/23,843.07 = 9,725.64/x
  3. Step 3: Cross multiply
    17,278.71x = 23,843.07 × 9,725.64
  4. Step 4: Simplify right side
    17,278.71x = 231,889,115.31
  5. Step 5: Solve for x
    x = 231,889,115.31/17,278.71
  6. Step 6: Final answer
    x = 13,420.51

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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.