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Finding the Fourth Proportional to 12,114.15, 18,171.25 and 3,794.89

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Solution

The fourth proportional to 12,114.15, 18,171.25 and 3,794.89 is: 5,692.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,114.15 : 18,171.25 = 3,794.89 : x
  2. Step 2: Convert to fraction form
    12,114.15/18,171.25 = 3,794.89/x
  3. Step 3: Cross multiply
    12,114.15x = 18,171.25 × 3,794.89
  4. Step 4: Simplify right side
    12,114.15x = 68,957,946.52
  5. Step 5: Solve for x
    x = 68,957,946.52/12,114.15
  6. Step 6: Final answer
    x = 5,692.35

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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.