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Finding the Fourth Proportional to 13,039.92, 17,997.65 and 8,563.56

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Solution

The fourth proportional to 13,039.92, 17,997.65 and 8,563.56 is: 11,819.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,039.92 : 17,997.65 = 8,563.56 : x
  2. Step 2: Convert to fraction form
    13,039.92/17,997.65 = 8,563.56/x
  3. Step 3: Cross multiply
    13,039.92x = 17,997.65 × 8,563.56
  4. Step 4: Simplify right side
    13,039.92x = 154,123,912.82
  5. Step 5: Solve for x
    x = 154,123,912.82/13,039.92
  6. Step 6: Final answer
    x = 11,819.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.