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Finding the Fourth Proportional to 20,863.85, 31,297.46 and 6,823.58

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Solution

The fourth proportional to 20,863.85, 31,297.46 and 6,823.58 is: 10,235.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,863.85 : 31,297.46 = 6,823.58 : x
  2. Step 2: Convert to fraction form
    20,863.85/31,297.46 = 6,823.58/x
  3. Step 3: Cross multiply
    20,863.85x = 31,297.46 × 6,823.58
  4. Step 4: Simplify right side
    20,863.85x = 213,560,531.50
  5. Step 5: Solve for x
    x = 213,560,531.50/20,863.85
  6. Step 6: Final answer
    x = 10,235.91

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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.