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Finding the Fourth Proportional to 20,706.94, 31,198.72 and 18,735.09

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Solution

The fourth proportional to 20,706.94, 31,198.72 and 18,735.09 is: 28,227.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,706.94 : 31,198.72 = 18,735.09 : x
  2. Step 2: Convert to fraction form
    20,706.94/31,198.72 = 18,735.09/x
  3. Step 3: Cross multiply
    20,706.94x = 31,198.72 × 18,735.09
  4. Step 4: Simplify right side
    20,706.94x = 584,510,733.41
  5. Step 5: Solve for x
    x = 584,510,733.41/20,706.94
  6. Step 6: Final answer
    x = 28,227.78

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.