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Finding the Fourth Proportional to 14,571.54, 20,108.52 and 8,198.46

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Solution

The fourth proportional to 14,571.54, 20,108.52 and 8,198.46 is: 11,313.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,571.54 : 20,108.52 = 8,198.46 : x
  2. Step 2: Convert to fraction form
    14,571.54/20,108.52 = 8,198.46/x
  3. Step 3: Cross multiply
    14,571.54x = 20,108.52 × 8,198.46
  4. Step 4: Simplify right side
    14,571.54x = 164,858,896.88
  5. Step 5: Solve for x
    x = 164,858,896.88/14,571.54
  6. Step 6: Final answer
    x = 11,313.76

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