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Finding the Fourth Proportional to 12,125.80, 18,174.30 and 5,105.80

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Solution

The fourth proportional to 12,125.80, 18,174.30 and 5,105.80 is: 7,652.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,125.80 : 18,174.30 = 5,105.80 : x
  2. Step 2: Convert to fraction form
    12,125.80/18,174.30 = 5,105.80/x
  3. Step 3: Cross multiply
    12,125.80x = 18,174.30 × 5,105.80
  4. Step 4: Simplify right side
    12,125.80x = 92,794,340.94
  5. Step 5: Solve for x
    x = 92,794,340.94/12,125.80
  6. Step 6: Final answer
    x = 7,652.64

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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.