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Finding the Fourth Proportional to 20,651.36, 30,976.62 and 13,991

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Solution

The fourth proportional to 20,651.36, 30,976.62 and 13,991 is: 20,986.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,651.36 : 30,976.62 = 13,991 : x
  2. Step 2: Convert to fraction form
    20,651.36/30,976.62 = 13,991/x
  3. Step 3: Cross multiply
    20,651.36x = 30,976.62 × 13,991
  4. Step 4: Simplify right side
    20,651.36x = 433,393,890.42
  5. Step 5: Solve for x
    x = 433,393,890.42/20,651.36
  6. Step 6: Final answer
    x = 20,986.22

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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.