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Finding the Fourth Proportional to 12,114.52, 18,173.34 and 3,794.92

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Solution

The fourth proportional to 12,114.52, 18,173.34 and 3,794.92 is: 5,692.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,114.52 : 18,173.34 = 3,794.92 : x
  2. Step 2: Convert to fraction form
    12,114.52/18,173.34 = 3,794.92/x
  3. Step 3: Cross multiply
    12,114.52x = 18,173.34 × 3,794.92
  4. Step 4: Simplify right side
    12,114.52x = 68,966,371.43
  5. Step 5: Solve for x
    x = 68,966,371.43/12,114.52
  6. Step 6: Final answer
    x = 5,692.87

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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.