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Finding the Fourth Proportional to 20,930.57, 31,400.17 and 6,891.44

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Solution

The fourth proportional to 20,930.57, 31,400.17 and 6,891.44 is: 10,338.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,930.57 : 31,400.17 = 6,891.44 : x
  2. Step 2: Convert to fraction form
    20,930.57/31,400.17 = 6,891.44/x
  3. Step 3: Cross multiply
    20,930.57x = 31,400.17 × 6,891.44
  4. Step 4: Simplify right side
    20,930.57x = 216,392,252.08
  5. Step 5: Solve for x
    x = 216,392,252.08/20,930.57
  6. Step 6: Final answer
    x = 10,338.57

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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.