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Finding the Fourth Proportional to 12,103.88, 18,163.10 and 5,178.38

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Solution

The fourth proportional to 12,103.88, 18,163.10 and 5,178.38 is: 7,770.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,103.88 : 18,163.10 = 5,178.38 : x
  2. Step 2: Convert to fraction form
    12,103.88/18,163.10 = 5,178.38/x
  3. Step 3: Cross multiply
    12,103.88x = 18,163.10 × 5,178.38
  4. Step 4: Simplify right side
    12,103.88x = 94,055,355.91
  5. Step 5: Solve for x
    x = 94,055,355.91/12,103.88
  6. Step 6: Final answer
    x = 7,770.68

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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.