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Finding the Fourth Proportional to 12,138.27, 18,180.07 and 6,216.97

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Solution

The fourth proportional to 12,138.27, 18,180.07 and 6,216.97 is: 9,311.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,138.27 : 18,180.07 = 6,216.97 : x
  2. Step 2: Convert to fraction form
    12,138.27/18,180.07 = 6,216.97/x
  3. Step 3: Cross multiply
    12,138.27x = 18,180.07 × 6,216.97
  4. Step 4: Simplify right side
    12,138.27x = 113,024,940.37
  5. Step 5: Solve for x
    x = 113,024,940.37/12,138.27
  6. Step 6: Final answer
    x = 9,311.45

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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.