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Finding the Fourth Proportional to 17,469.25, 24,107.42 and 9,511.46

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Solution

The fourth proportional to 17,469.25, 24,107.42 and 9,511.46 is: 13,125.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,469.25 : 24,107.42 = 9,511.46 : x
  2. Step 2: Convert to fraction form
    17,469.25/24,107.42 = 9,511.46/x
  3. Step 3: Cross multiply
    17,469.25x = 24,107.42 × 9,511.46
  4. Step 4: Simplify right side
    17,469.25x = 229,296,754.68
  5. Step 5: Solve for x
    x = 229,296,754.68/17,469.25
  6. Step 6: Final answer
    x = 13,125.73

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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.