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Finding the Fourth Proportional to 17,270.97, 23,833.68 and 9,717.31

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Solution

The fourth proportional to 17,270.97, 23,833.68 and 9,717.31 is: 13,409.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,270.97 : 23,833.68 = 9,717.31 : x
  2. Step 2: Convert to fraction form
    17,270.97/23,833.68 = 9,717.31/x
  3. Step 3: Cross multiply
    17,270.97x = 23,833.68 × 9,717.31
  4. Step 4: Simplify right side
    17,270.97x = 231,599,089.25
  5. Step 5: Solve for x
    x = 231,599,089.25/17,270.97
  6. Step 6: Final answer
    x = 13,409.74

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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.