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Finding the Fourth Proportional to 12,469.11, 17,202.96 and 8,228.13

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Solution

The fourth proportional to 12,469.11, 17,202.96 and 8,228.13 is: 11,351.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,469.11 : 17,202.96 = 8,228.13 : x
  2. Step 2: Convert to fraction form
    12,469.11/17,202.96 = 8,228.13/x
  3. Step 3: Cross multiply
    12,469.11x = 17,202.96 × 8,228.13
  4. Step 4: Simplify right side
    12,469.11x = 141,548,191.26
  5. Step 5: Solve for x
    x = 141,548,191.26/12,469.11
  6. Step 6: Final answer
    x = 11,351.91

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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.