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Finding the Fourth Proportional to 26,588.25, 39,879.28 and 6,865.26

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Solution

The fourth proportional to 26,588.25, 39,879.28 and 6,865.26 is: 10,297.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,588.25 : 39,879.28 = 6,865.26 : x
  2. Step 2: Convert to fraction form
    26,588.25/39,879.28 = 6,865.26/x
  3. Step 3: Cross multiply
    26,588.25x = 39,879.28 × 6,865.26
  4. Step 4: Simplify right side
    26,588.25x = 273,781,625.81
  5. Step 5: Solve for x
    x = 273,781,625.81/26,588.25
  6. Step 6: Final answer
    x = 10,297.09

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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.