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Finding the Fourth Proportional to 27,692.42, 41,544.63 and 8,974.33

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Solution

The fourth proportional to 27,692.42, 41,544.63 and 8,974.33 is: 13,463.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,692.42 : 41,544.63 = 8,974.33 : x
  2. Step 2: Convert to fraction form
    27,692.42/41,544.63 = 8,974.33/x
  3. Step 3: Cross multiply
    27,692.42x = 41,544.63 × 8,974.33
  4. Step 4: Simplify right side
    27,692.42x = 372,835,115.49
  5. Step 5: Solve for x
    x = 372,835,115.49/27,692.42
  6. Step 6: Final answer
    x = 13,463.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.