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Finding the Fourth Proportional to 18,082.42, 27,127.96 and 7,546.58

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Solution

The fourth proportional to 18,082.42, 27,127.96 and 7,546.58 is: 11,321.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,082.42 : 27,127.96 = 7,546.58 : x
  2. Step 2: Convert to fraction form
    18,082.42/27,127.96 = 7,546.58/x
  3. Step 3: Cross multiply
    18,082.42x = 27,127.96 × 7,546.58
  4. Step 4: Simplify right side
    18,082.42x = 204,723,267.60
  5. Step 5: Solve for x
    x = 204,723,267.60/18,082.42
  6. Step 6: Final answer
    x = 11,321.68

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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.