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Finding the Fourth Proportional to 27,568.14, 41,352.22 and 6,791.64

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Solution

The fourth proportional to 27,568.14, 41,352.22 and 6,791.64 is: 10,187.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,568.14 : 41,352.22 = 6,791.64 : x
  2. Step 2: Convert to fraction form
    27,568.14/41,352.22 = 6,791.64/x
  3. Step 3: Cross multiply
    27,568.14x = 41,352.22 × 6,791.64
  4. Step 4: Simplify right side
    27,568.14x = 280,849,391.44
  5. Step 5: Solve for x
    x = 280,849,391.44/27,568.14
  6. Step 6: Final answer
    x = 10,187.46

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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.