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Finding the Fourth Proportional to 26,077.25, 39,118.93 and 8,301.68

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Solution

The fourth proportional to 26,077.25, 39,118.93 and 8,301.68 is: 12,453.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,077.25 : 39,118.93 = 8,301.68 : x
  2. Step 2: Convert to fraction form
    26,077.25/39,118.93 = 8,301.68/x
  3. Step 3: Cross multiply
    26,077.25x = 39,118.93 × 8,301.68
  4. Step 4: Simplify right side
    26,077.25x = 324,752,915.85
  5. Step 5: Solve for x
    x = 324,752,915.85/26,077.25
  6. Step 6: Final answer
    x = 12,453.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.