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Finding the Fourth Proportional to 12,168.06, 18,219.08 and 10,177.90

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Solution

The fourth proportional to 12,168.06, 18,219.08 and 10,177.90 is: 15,239.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,168.06 : 18,219.08 = 10,177.90 : x
  2. Step 2: Convert to fraction form
    12,168.06/18,219.08 = 10,177.90/x
  3. Step 3: Cross multiply
    12,168.06x = 18,219.08 × 10,177.90
  4. Step 4: Simplify right side
    12,168.06x = 185,431,974.33
  5. Step 5: Solve for x
    x = 185,431,974.33/12,168.06
  6. Step 6: Final answer
    x = 15,239.24

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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.