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Finding the Fourth Proportional to 20,687.76, 31,033.08 and 6,846.48

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Solution

The fourth proportional to 20,687.76, 31,033.08 and 6,846.48 is: 10,270.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,687.76 : 31,033.08 = 6,846.48 : x
  2. Step 2: Convert to fraction form
    20,687.76/31,033.08 = 6,846.48/x
  3. Step 3: Cross multiply
    20,687.76x = 31,033.08 × 6,846.48
  4. Step 4: Simplify right side
    20,687.76x = 212,467,361.56
  5. Step 5: Solve for x
    x = 212,467,361.56/20,687.76
  6. Step 6: Final answer
    x = 10,270.20

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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.