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Finding the Fourth Proportional to 20,731, 31,096.60 and 6,880

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Solution

The fourth proportional to 20,731, 31,096.60 and 6,880 is: 10,320.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,731 : 31,096.60 = 6,880 : x
  2. Step 2: Convert to fraction form
    20,731/31,096.60 = 6,880/x
  3. Step 3: Cross multiply
    20,731x = 31,096.60 × 6,880
  4. Step 4: Simplify right side
    20,731x = 213,944,608
  5. Step 5: Solve for x
    x = 213,944,608/20,731
  6. Step 6: Final answer
    x = 10,320.03

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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.