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Finding the Fourth Proportional to 20,878.41, 31,310.97 and 6,834.66

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Solution

The fourth proportional to 20,878.41, 31,310.97 and 6,834.66 is: 10,249.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,878.41 : 31,310.97 = 6,834.66 : x
  2. Step 2: Convert to fraction form
    20,878.41/31,310.97 = 6,834.66/x
  3. Step 3: Cross multiply
    20,878.41x = 31,310.97 × 6,834.66
  4. Step 4: Simplify right side
    20,878.41x = 213,999,834.22
  5. Step 5: Solve for x
    x = 213,999,834.22/20,878.41
  6. Step 6: Final answer
    x = 10,249.81

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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.