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Finding the Fourth Proportional to 20,067.50, 27,692.74 and 11,114.98

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Solution

The fourth proportional to 20,067.50, 27,692.74 and 11,114.98 is: 15,338.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,067.50 : 27,692.74 = 11,114.98 : x
  2. Step 2: Convert to fraction form
    20,067.50/27,692.74 = 11,114.98/x
  3. Step 3: Cross multiply
    20,067.50x = 27,692.74 × 11,114.98
  4. Step 4: Simplify right side
    20,067.50x = 307,804,057.21
  5. Step 5: Solve for x
    x = 307,804,057.21/20,067.50
  6. Step 6: Final answer
    x = 15,338.44

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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.