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Finding the Fourth Proportional to 22,431.46, 33,654.46 and 10,745.50

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Solution

The fourth proportional to 22,431.46, 33,654.46 and 10,745.50 is: 16,121.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,431.46 : 33,654.46 = 10,745.50 : x
  2. Step 2: Convert to fraction form
    22,431.46/33,654.46 = 10,745.50/x
  3. Step 3: Cross multiply
    22,431.46x = 33,654.46 × 10,745.50
  4. Step 4: Simplify right side
    22,431.46x = 361,633,999.93
  5. Step 5: Solve for x
    x = 361,633,999.93/22,431.46
  6. Step 6: Final answer
    x = 16,121.73

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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.