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Finding the Fourth Proportional to 12,105.39, 18,163.56 and 6,179.22

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Solution

The fourth proportional to 12,105.39, 18,163.56 and 6,179.22 is: 9,271.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,105.39 : 18,163.56 = 6,179.22 : x
  2. Step 2: Convert to fraction form
    12,105.39/18,163.56 = 6,179.22/x
  3. Step 3: Cross multiply
    12,105.39x = 18,163.56 × 6,179.22
  4. Step 4: Simplify right side
    12,105.39x = 112,236,605.31
  5. Step 5: Solve for x
    x = 112,236,605.31/12,105.39
  6. Step 6: Final answer
    x = 9,271.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.