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Finding the Fourth Proportional to 25,697.78, 38,546.22 and 10,115.41

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Solution

The fourth proportional to 25,697.78, 38,546.22 and 10,115.41 is: 15,172.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,697.78 : 38,546.22 = 10,115.41 : x
  2. Step 2: Convert to fraction form
    25,697.78/38,546.22 = 10,115.41/x
  3. Step 3: Cross multiply
    25,697.78x = 38,546.22 × 10,115.41
  4. Step 4: Simplify right side
    25,697.78x = 389,910,819.25
  5. Step 5: Solve for x
    x = 389,910,819.25/25,697.78
  6. Step 6: Final answer
    x = 15,172.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.