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Finding the Fourth Proportional to 27,734.15, 41,603.31 and 8,012.85

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Solution

The fourth proportional to 27,734.15, 41,603.31 and 8,012.85 is: 12,019.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,734.15 : 41,603.31 = 8,012.85 : x
  2. Step 2: Convert to fraction form
    27,734.15/41,603.31 = 8,012.85/x
  3. Step 3: Cross multiply
    27,734.15x = 41,603.31 × 8,012.85
  4. Step 4: Simplify right side
    27,734.15x = 333,361,082.53
  5. Step 5: Solve for x
    x = 333,361,082.53/27,734.15
  6. Step 6: Final answer
    x = 12,019.88

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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.