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Finding the Fourth Proportional to 20,993.70, 31,490.82 and 6,202.83

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Solution

The fourth proportional to 20,993.70, 31,490.82 and 6,202.83 is: 9,304.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,993.70 : 31,490.82 = 6,202.83 : x
  2. Step 2: Convert to fraction form
    20,993.70/31,490.82 = 6,202.83/x
  3. Step 3: Cross multiply
    20,993.70x = 31,490.82 × 6,202.83
  4. Step 4: Simplify right side
    20,993.70x = 195,332,203.02
  5. Step 5: Solve for x
    x = 195,332,203.02/20,993.70
  6. Step 6: Final answer
    x = 9,304.32

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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.