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Finding the Fourth Proportional to 20,919.41, 31,382.97 and 6,880.22

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Solution

The fourth proportional to 20,919.41, 31,382.97 and 6,880.22 is: 10,321.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,919.41 : 31,382.97 = 6,880.22 : x
  2. Step 2: Convert to fraction form
    20,919.41/31,382.97 = 6,880.22/x
  3. Step 3: Cross multiply
    20,919.41x = 31,382.97 × 6,880.22
  4. Step 4: Simplify right side
    20,919.41x = 215,921,737.85
  5. Step 5: Solve for x
    x = 215,921,737.85/20,919.41
  6. Step 6: Final answer
    x = 10,321.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.