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Finding the Fourth Proportional to 14,571.39, 20,107.94 and 8,198.12

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Solution

The fourth proportional to 14,571.39, 20,107.94 and 8,198.12 is: 11,313.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,571.39 : 20,107.94 = 8,198.12 : x
  2. Step 2: Convert to fraction form
    14,571.39/20,107.94 = 8,198.12/x
  3. Step 3: Cross multiply
    14,571.39x = 20,107.94 × 8,198.12
  4. Step 4: Simplify right side
    14,571.39x = 164,847,163.54
  5. Step 5: Solve for x
    x = 164,847,163.54/14,571.39
  6. Step 6: Final answer
    x = 11,313.07

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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.