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Finding the Fourth Proportional to 12,616.80, 17,401.91 and 8,138.31

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Solution

The fourth proportional to 12,616.80, 17,401.91 and 8,138.31 is: 11,224.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,616.80 : 17,401.91 = 8,138.31 : x
  2. Step 2: Convert to fraction form
    12,616.80/17,401.91 = 8,138.31/x
  3. Step 3: Cross multiply
    12,616.80x = 17,401.91 × 8,138.31
  4. Step 4: Simplify right side
    12,616.80x = 141,622,097.48
  5. Step 5: Solve for x
    x = 141,622,097.48/12,616.80
  6. Step 6: Final answer
    x = 11,224.88

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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.