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Finding the Fourth Proportional to 27,213.87, 40,822.33 and 8,496.49

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Solution

The fourth proportional to 27,213.87, 40,822.33 and 8,496.49 is: 12,745.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,213.87 : 40,822.33 = 8,496.49 : x
  2. Step 2: Convert to fraction form
    27,213.87/40,822.33 = 8,496.49/x
  3. Step 3: Cross multiply
    27,213.87x = 40,822.33 × 8,496.49
  4. Step 4: Simplify right side
    27,213.87x = 346,846,557.99
  5. Step 5: Solve for x
    x = 346,846,557.99/27,213.87
  6. Step 6: Final answer
    x = 12,745.21

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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.