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Finding the Fourth Proportional to 12,114.70, 18,172.06 and 3,794.78

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Solution

The fourth proportional to 12,114.70, 18,172.06 and 3,794.78 is: 5,692.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,114.70 : 18,172.06 = 3,794.78 : x
  2. Step 2: Convert to fraction form
    12,114.70/18,172.06 = 3,794.78/x
  3. Step 3: Cross multiply
    12,114.70x = 18,172.06 × 3,794.78
  4. Step 4: Simplify right side
    12,114.70x = 68,959,005.79
  5. Step 5: Solve for x
    x = 68,959,005.79/12,114.70
  6. Step 6: Final answer
    x = 5,692.18

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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.