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Finding the Fourth Proportional to 21,843.14, 32,766.84 and 8,692.44

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Solution

The fourth proportional to 21,843.14, 32,766.84 and 8,692.44 is: 13,039.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,843.14 : 32,766.84 = 8,692.44 : x
  2. Step 2: Convert to fraction form
    21,843.14/32,766.84 = 8,692.44/x
  3. Step 3: Cross multiply
    21,843.14x = 32,766.84 × 8,692.44
  4. Step 4: Simplify right side
    21,843.14x = 284,823,790.69
  5. Step 5: Solve for x
    x = 284,823,790.69/21,843.14
  6. Step 6: Final answer
    x = 13,039.51

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Why These Related Problems?

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