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Finding the Fourth Proportional to 25,551.76, 38,324.76 and 6,833.76

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Solution

The fourth proportional to 25,551.76, 38,324.76 and 6,833.76 is: 10,249.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,551.76 : 38,324.76 = 6,833.76 : x
  2. Step 2: Convert to fraction form
    25,551.76/38,324.76 = 6,833.76/x
  3. Step 3: Cross multiply
    25,551.76x = 38,324.76 × 6,833.76
  4. Step 4: Simplify right side
    25,551.76x = 261,902,211.90
  5. Step 5: Solve for x
    x = 261,902,211.90/25,551.76
  6. Step 6: Final answer
    x = 10,249.87

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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.