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Finding the Fourth Proportional to 18,472.43, 27,692.10 and 6,782.91

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Solution

The fourth proportional to 18,472.43, 27,692.10 and 6,782.91 is: 10,168.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,472.43 : 27,692.10 = 6,782.91 : x
  2. Step 2: Convert to fraction form
    18,472.43/27,692.10 = 6,782.91/x
  3. Step 3: Cross multiply
    18,472.43x = 27,692.10 × 6,782.91
  4. Step 4: Simplify right side
    18,472.43x = 187,833,022.01
  5. Step 5: Solve for x
    x = 187,833,022.01/18,472.43
  6. Step 6: Final answer
    x = 10,168.29

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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.