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Finding the Fourth Proportional to 27,639.72, 41,459.58 and 6,863.22

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Solution

The fourth proportional to 27,639.72, 41,459.58 and 6,863.22 is: 10,294.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,639.72 : 41,459.58 = 6,863.22 : x
  2. Step 2: Convert to fraction form
    27,639.72/41,459.58 = 6,863.22/x
  3. Step 3: Cross multiply
    27,639.72x = 41,459.58 × 6,863.22
  4. Step 4: Simplify right side
    27,639.72x = 284,546,218.65
  5. Step 5: Solve for x
    x = 284,546,218.65/27,639.72
  6. Step 6: Final answer
    x = 10,294.83

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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.