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Finding the Fourth Proportional to 20,297.64, 30,440.31 and 7,816.70

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Solution

The fourth proportional to 20,297.64, 30,440.31 and 7,816.70 is: 11,722.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,297.64 : 30,440.31 = 7,816.70 : x
  2. Step 2: Convert to fraction form
    20,297.64/30,440.31 = 7,816.70/x
  3. Step 3: Cross multiply
    20,297.64x = 30,440.31 × 7,816.70
  4. Step 4: Simplify right side
    20,297.64x = 237,942,817.97
  5. Step 5: Solve for x
    x = 237,942,817.97/20,297.64
  6. Step 6: Final answer
    x = 11,722.68

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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.