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Finding the Fourth Proportional to 22,936.44, 31,654.38 and 13,984.44

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Solution

The fourth proportional to 22,936.44, 31,654.38 and 13,984.44 is: 19,299.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,936.44 : 31,654.38 = 13,984.44 : x
  2. Step 2: Convert to fraction form
    22,936.44/31,654.38 = 13,984.44/x
  3. Step 3: Cross multiply
    22,936.44x = 31,654.38 × 13,984.44
  4. Step 4: Simplify right side
    22,936.44x = 442,668,777.85
  5. Step 5: Solve for x
    x = 442,668,777.85/22,936.44
  6. Step 6: Final answer
    x = 19,299.80

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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.