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Finding the Fourth Proportional to 20,198.91, 27,899.50 and 14,257.11

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Solution

The fourth proportional to 20,198.91, 27,899.50 and 14,257.11 is: 19,692.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,198.91 : 27,899.50 = 14,257.11 : x
  2. Step 2: Convert to fraction form
    20,198.91/27,899.50 = 14,257.11/x
  3. Step 3: Cross multiply
    20,198.91x = 27,899.50 × 14,257.11
  4. Step 4: Simplify right side
    20,198.91x = 397,766,179.22
  5. Step 5: Solve for x
    x = 397,766,179.22/20,198.91
  6. Step 6: Final answer
    x = 19,692.45

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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.