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Finding the Fourth Proportional to 12,114.77, 18,179.17 and 5,094.23

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Solution

The fourth proportional to 12,114.77, 18,179.17 and 5,094.23 is: 7,644.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,114.77 : 18,179.17 = 5,094.23 : x
  2. Step 2: Convert to fraction form
    12,114.77/18,179.17 = 5,094.23/x
  3. Step 3: Cross multiply
    12,114.77x = 18,179.17 × 5,094.23
  4. Step 4: Simplify right side
    12,114.77x = 92,608,769.56
  5. Step 5: Solve for x
    x = 92,608,769.56/12,114.77
  6. Step 6: Final answer
    x = 7,644.29

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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.