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Finding the Fourth Proportional to 17,171.68, 23,694.96 and 9,617.44

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Solution

The fourth proportional to 17,171.68, 23,694.96 and 9,617.44 is: 13,270.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,171.68 : 23,694.96 = 9,617.44 : x
  2. Step 2: Convert to fraction form
    17,171.68/23,694.96 = 9,617.44/x
  3. Step 3: Cross multiply
    17,171.68x = 23,694.96 × 9,617.44
  4. Step 4: Simplify right side
    17,171.68x = 227,884,856.10
  5. Step 5: Solve for x
    x = 227,884,856.10/17,171.68
  6. Step 6: Final answer
    x = 13,270.97

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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.