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Finding the Fourth Proportional to 12,122.16, 18,150.44 and 8,218.80

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Solution

The fourth proportional to 12,122.16, 18,150.44 and 8,218.80 is: 12,305.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,122.16 : 18,150.44 = 8,218.80 : x
  2. Step 2: Convert to fraction form
    12,122.16/18,150.44 = 8,218.80/x
  3. Step 3: Cross multiply
    12,122.16x = 18,150.44 × 8,218.80
  4. Step 4: Simplify right side
    12,122.16x = 149,174,836.27
  5. Step 5: Solve for x
    x = 149,174,836.27/12,122.16
  6. Step 6: Final answer
    x = 12,305.96

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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.