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Finding the Fourth Proportional to 27,863.92, 41,785.96 and 8,137.36

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Solution

The fourth proportional to 27,863.92, 41,785.96 and 8,137.36 is: 12,203.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,863.92 : 41,785.96 = 8,137.36 : x
  2. Step 2: Convert to fraction form
    27,863.92/41,785.96 = 8,137.36/x
  3. Step 3: Cross multiply
    27,863.92x = 41,785.96 × 8,137.36
  4. Step 4: Simplify right side
    27,863.92x = 340,027,399.47
  5. Step 5: Solve for x
    x = 340,027,399.47/27,863.92
  6. Step 6: Final answer
    x = 12,203.14

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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.