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Finding the Fourth Proportional to 25,896.56, 38,844.78 and 7,428.56

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Solution

The fourth proportional to 25,896.56, 38,844.78 and 7,428.56 is: 11,142.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,896.56 : 38,844.78 = 7,428.56 : x
  2. Step 2: Convert to fraction form
    25,896.56/38,844.78 = 7,428.56/x
  3. Step 3: Cross multiply
    25,896.56x = 38,844.78 × 7,428.56
  4. Step 4: Simplify right side
    25,896.56x = 288,560,778.92
  5. Step 5: Solve for x
    x = 288,560,778.92/25,896.56
  6. Step 6: Final answer
    x = 11,142.82

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Why These Related Problems?

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