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Finding the Fourth Proportional to 20,168.24, 27,827.72 and 12,098.21

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Solution

The fourth proportional to 20,168.24, 27,827.72 and 12,098.21 is: 16,692.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,168.24 : 27,827.72 = 12,098.21 : x
  2. Step 2: Convert to fraction form
    20,168.24/27,827.72 = 12,098.21/x
  3. Step 3: Cross multiply
    20,168.24x = 27,827.72 × 12,098.21
  4. Step 4: Simplify right side
    20,168.24x = 336,665,600.38
  5. Step 5: Solve for x
    x = 336,665,600.38/20,168.24
  6. Step 6: Final answer
    x = 16,692.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.