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Finding the Fourth Proportional to 17,262.25, 23,821.32 and 9,708.90

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Solution

The fourth proportional to 17,262.25, 23,821.32 and 9,708.90 is: 13,397.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,262.25 : 23,821.32 = 9,708.90 : x
  2. Step 2: Convert to fraction form
    17,262.25/23,821.32 = 9,708.90/x
  3. Step 3: Cross multiply
    17,262.25x = 23,821.32 × 9,708.90
  4. Step 4: Simplify right side
    17,262.25x = 231,278,760.83
  5. Step 5: Solve for x
    x = 231,278,760.83/17,262.25
  6. Step 6: Final answer
    x = 13,397.95

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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.