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Finding the Fourth Proportional to 22,676.89, 31,309.38 and 20,279.42

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Solution

The fourth proportional to 22,676.89, 31,309.38 and 20,279.42 is: 27,999.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,676.89 : 31,309.38 = 20,279.42 : x
  2. Step 2: Convert to fraction form
    22,676.89/31,309.38 = 20,279.42/x
  3. Step 3: Cross multiply
    22,676.89x = 31,309.38 × 20,279.42
  4. Step 4: Simplify right side
    22,676.89x = 634,936,066.96
  5. Step 5: Solve for x
    x = 634,936,066.96/22,676.89
  6. Step 6: Final answer
    x = 27,999.26

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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.