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Finding the Fourth Proportional to 22,644.26, 31,244.42 and 13,692.14

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Solution

The fourth proportional to 22,644.26, 31,244.42 and 13,692.14 is: 18,892.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,644.26 : 31,244.42 = 13,692.14 : x
  2. Step 2: Convert to fraction form
    22,644.26/31,244.42 = 13,692.14/x
  3. Step 3: Cross multiply
    22,644.26x = 31,244.42 × 13,692.14
  4. Step 4: Simplify right side
    22,644.26x = 427,802,972.86
  5. Step 5: Solve for x
    x = 427,802,972.86/22,644.26
  6. Step 6: Final answer
    x = 18,892.34

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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.