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Finding the Fourth Proportional to 12,082.44, 18,128.22 and 8,223.24

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Solution

The fourth proportional to 12,082.44, 18,128.22 and 8,223.24 is: 12,337.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,082.44 : 18,128.22 = 8,223.24 : x
  2. Step 2: Convert to fraction form
    12,082.44/18,128.22 = 8,223.24/x
  3. Step 3: Cross multiply
    12,082.44x = 18,128.22 × 8,223.24
  4. Step 4: Simplify right side
    12,082.44x = 149,072,703.83
  5. Step 5: Solve for x
    x = 149,072,703.83/12,082.44
  6. Step 6: Final answer
    x = 12,337.96

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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.