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Finding the Fourth Proportional to 20,954.37, 31,431.83 and 6,163.61

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Solution

The fourth proportional to 20,954.37, 31,431.83 and 6,163.61 is: 9,245.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,954.37 : 31,431.83 = 6,163.61 : x
  2. Step 2: Convert to fraction form
    20,954.37/31,431.83 = 6,163.61/x
  3. Step 3: Cross multiply
    20,954.37x = 31,431.83 × 6,163.61
  4. Step 4: Simplify right side
    20,954.37x = 193,733,353.73
  5. Step 5: Solve for x
    x = 193,733,353.73/20,954.37
  6. Step 6: Final answer
    x = 9,245.49

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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.