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Finding the Fourth Proportional to 12,216.73, 18,306.64 and 9,082.03

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Solution

The fourth proportional to 12,216.73, 18,306.64 and 9,082.03 is: 13,609.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,216.73 : 18,306.64 = 9,082.03 : x
  2. Step 2: Convert to fraction form
    12,216.73/18,306.64 = 9,082.03/x
  3. Step 3: Cross multiply
    12,216.73x = 18,306.64 × 9,082.03
  4. Step 4: Simplify right side
    12,216.73x = 166,261,385.21
  5. Step 5: Solve for x
    x = 166,261,385.21/12,216.73
  6. Step 6: Final answer
    x = 13,609.32

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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.