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Finding the Fourth Proportional to 12,122.34, 16,729.52 and 8,082.20

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Solution

The fourth proportional to 12,122.34, 16,729.52 and 8,082.20 is: 11,153.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,122.34 : 16,729.52 = 8,082.20 : x
  2. Step 2: Convert to fraction form
    12,122.34/16,729.52 = 8,082.20/x
  3. Step 3: Cross multiply
    12,122.34x = 16,729.52 × 8,082.20
  4. Step 4: Simplify right side
    12,122.34x = 135,211,202.49
  5. Step 5: Solve for x
    x = 135,211,202.49/12,122.34
  6. Step 6: Final answer
    x = 11,153.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.