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Finding the Fourth Proportional to 22,540.38, 31,092.54 and 13,582.20

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Solution

The fourth proportional to 22,540.38, 31,092.54 and 13,582.20 is: 18,735.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,540.38 : 31,092.54 = 13,582.20 : x
  2. Step 2: Convert to fraction form
    22,540.38/31,092.54 = 13,582.20/x
  3. Step 3: Cross multiply
    22,540.38x = 31,092.54 × 13,582.20
  4. Step 4: Simplify right side
    22,540.38x = 422,305,096.79
  5. Step 5: Solve for x
    x = 422,305,096.79/22,540.38
  6. Step 6: Final answer
    x = 18,735.49

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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.