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Finding the Fourth Proportional to 17,469.54, 24,107.17 and 9,511.75

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Solution

The fourth proportional to 17,469.54, 24,107.17 and 9,511.75 is: 13,125.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,469.54 : 24,107.17 = 9,511.75 : x
  2. Step 2: Convert to fraction form
    17,469.54/24,107.17 = 9,511.75/x
  3. Step 3: Cross multiply
    17,469.54x = 24,107.17 × 9,511.75
  4. Step 4: Simplify right side
    17,469.54x = 229,301,374.25
  5. Step 5: Solve for x
    x = 229,301,374.25/17,469.54
  6. Step 6: Final answer
    x = 13,125.78

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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.