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Finding the Fourth Proportional to 16,834.39, 23,230.09 and 9,761.26

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Solution

The fourth proportional to 16,834.39, 23,230.09 and 9,761.26 is: 13,469.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,834.39 : 23,230.09 = 9,761.26 : x
  2. Step 2: Convert to fraction form
    16,834.39/23,230.09 = 9,761.26/x
  3. Step 3: Cross multiply
    16,834.39x = 23,230.09 × 9,761.26
  4. Step 4: Simplify right side
    16,834.39x = 226,754,948.31
  5. Step 5: Solve for x
    x = 226,754,948.31/16,834.39
  6. Step 6: Final answer
    x = 13,469.75

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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.