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Finding the Fourth Proportional to 26,252.50, 39,367.18 and 9,608.20

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Solution

The fourth proportional to 26,252.50, 39,367.18 and 9,608.20 is: 14,408.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,252.50 : 39,367.18 = 9,608.20 : x
  2. Step 2: Convert to fraction form
    26,252.50/39,367.18 = 9,608.20/x
  3. Step 3: Cross multiply
    26,252.50x = 39,367.18 × 9,608.20
  4. Step 4: Simplify right side
    26,252.50x = 378,247,738.88
  5. Step 5: Solve for x
    x = 378,247,738.88/26,252.50
  6. Step 6: Final answer
    x = 14,408.07

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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.