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Finding the Fourth Proportional to 25,493.96, 38,245.74 and 7,959.56

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Solution

The fourth proportional to 25,493.96, 38,245.74 and 7,959.56 is: 11,940.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,493.96 : 38,245.74 = 7,959.56 : x
  2. Step 2: Convert to fraction form
    25,493.96/38,245.74 = 7,959.56/x
  3. Step 3: Cross multiply
    25,493.96x = 38,245.74 × 7,959.56
  4. Step 4: Simplify right side
    25,493.96x = 304,419,262.27
  5. Step 5: Solve for x
    x = 304,419,262.27/25,493.96
  6. Step 6: Final answer
    x = 11,940.84

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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.