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Finding the Fourth Proportional to 27,736.02, 41,604.84 and 8,019

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Solution

The fourth proportional to 27,736.02, 41,604.84 and 8,019 is: 12,028.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,736.02 : 41,604.84 = 8,019 : x
  2. Step 2: Convert to fraction form
    27,736.02/41,604.84 = 8,019/x
  3. Step 3: Cross multiply
    27,736.02x = 41,604.84 × 8,019
  4. Step 4: Simplify right side
    27,736.02x = 333,629,211.96
  5. Step 5: Solve for x
    x = 333,629,211.96/27,736.02
  6. Step 6: Final answer
    x = 12,028.73

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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.