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Finding the Fourth Proportional to 26,578.49, 39,867.67 and 6,857.02

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Solution

The fourth proportional to 26,578.49, 39,867.67 and 6,857.02 is: 10,285.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,578.49 : 39,867.67 = 6,857.02 : x
  2. Step 2: Convert to fraction form
    26,578.49/39,867.67 = 6,857.02/x
  3. Step 3: Cross multiply
    26,578.49x = 39,867.67 × 6,857.02
  4. Step 4: Simplify right side
    26,578.49x = 273,373,410.54
  5. Step 5: Solve for x
    x = 273,373,410.54/26,578.49
  6. Step 6: Final answer
    x = 10,285.51

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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.