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Finding the Fourth Proportional to 12,082.44, 18,123.42 and 5,922.12

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Solution

The fourth proportional to 12,082.44, 18,123.42 and 5,922.12 is: 8,883.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,082.44 : 18,123.42 = 5,922.12 : x
  2. Step 2: Convert to fraction form
    12,082.44/18,123.42 = 5,922.12/x
  3. Step 3: Cross multiply
    12,082.44x = 18,123.42 × 5,922.12
  4. Step 4: Simplify right side
    12,082.44x = 107,329,068.05
  5. Step 5: Solve for x
    x = 107,329,068.05/12,082.44
  6. Step 6: Final answer
    x = 8,883.06

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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.