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Finding the Fourth Proportional to 20,731.70, 31,097.55 and 6,880.70

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Solution

The fourth proportional to 20,731.70, 31,097.55 and 6,880.70 is: 10,321.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,731.70 : 31,097.55 = 6,880.70 : x
  2. Step 2: Convert to fraction form
    20,731.70/31,097.55 = 6,880.70/x
  3. Step 3: Cross multiply
    20,731.70x = 31,097.55 × 6,880.70
  4. Step 4: Simplify right side
    20,731.70x = 213,972,912.29
  5. Step 5: Solve for x
    x = 213,972,912.29/20,731.70
  6. Step 6: Final answer
    x = 10,321.05

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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.