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Finding the Fourth Proportional to 20,692.35, 31,027.19 and 8,199.72

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Solution

The fourth proportional to 20,692.35, 31,027.19 and 8,199.72 is: 12,295.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,692.35 : 31,027.19 = 8,199.72 : x
  2. Step 2: Convert to fraction form
    20,692.35/31,027.19 = 8,199.72/x
  3. Step 3: Cross multiply
    20,692.35x = 31,027.19 × 8,199.72
  4. Step 4: Simplify right side
    20,692.35x = 254,414,229.39
  5. Step 5: Solve for x
    x = 254,414,229.39/20,692.35
  6. Step 6: Final answer
    x = 12,295.09

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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.