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Finding the Fourth Proportional to 20,638.82, 28,481.69 and 11,207.46

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Solution

The fourth proportional to 20,638.82, 28,481.69 and 11,207.46 is: 15,466.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,638.82 : 28,481.69 = 11,207.46 : x
  2. Step 2: Convert to fraction form
    20,638.82/28,481.69 = 11,207.46/x
  3. Step 3: Cross multiply
    20,638.82x = 28,481.69 × 11,207.46
  4. Step 4: Simplify right side
    20,638.82x = 319,207,401.41
  5. Step 5: Solve for x
    x = 319,207,401.41/20,638.82
  6. Step 6: Final answer
    x = 15,466.36

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