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Finding the Fourth Proportional to 20,896.68, 31,321.17 and 8,408.73

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Solution

The fourth proportional to 20,896.68, 31,321.17 and 8,408.73 is: 12,603.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,896.68 : 31,321.17 = 8,408.73 : x
  2. Step 2: Convert to fraction form
    20,896.68/31,321.17 = 8,408.73/x
  3. Step 3: Cross multiply
    20,896.68x = 31,321.17 × 8,408.73
  4. Step 4: Simplify right side
    20,896.68x = 263,371,261.81
  5. Step 5: Solve for x
    x = 263,371,261.81/20,896.68
  6. Step 6: Final answer
    x = 12,603.50

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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.