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Finding the Fourth Proportional to 12,082.13, 18,121.15 and 3,197.58

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Solution

The fourth proportional to 12,082.13, 18,121.15 and 3,197.58 is: 4,795.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,082.13 : 18,121.15 = 3,197.58 : x
  2. Step 2: Convert to fraction form
    12,082.13/18,121.15 = 3,197.58/x
  3. Step 3: Cross multiply
    12,082.13x = 18,121.15 × 3,197.58
  4. Step 4: Simplify right side
    12,082.13x = 57,943,762.86
  5. Step 5: Solve for x
    x = 57,943,762.86/12,082.13
  6. Step 6: Final answer
    x = 4,795.82

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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.