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Finding the Fourth Proportional to 12,127.68, 18,177.75 and 5,469.63

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Solution

The fourth proportional to 12,127.68, 18,177.75 and 5,469.63 is: 8,198.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,127.68 : 18,177.75 = 5,469.63 : x
  2. Step 2: Convert to fraction form
    12,127.68/18,177.75 = 5,469.63/x
  3. Step 3: Cross multiply
    12,127.68x = 18,177.75 × 5,469.63
  4. Step 4: Simplify right side
    12,127.68x = 99,425,566.73
  5. Step 5: Solve for x
    x = 99,425,566.73/12,127.68
  6. Step 6: Final answer
    x = 8,198.23

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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.