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Finding the Fourth Proportional to 20,474.16, 30,704.71 and 7,991.15

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Solution

The fourth proportional to 20,474.16, 30,704.71 and 7,991.15 is: 11,984.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,474.16 : 30,704.71 = 7,991.15 : x
  2. Step 2: Convert to fraction form
    20,474.16/30,704.71 = 7,991.15/x
  3. Step 3: Cross multiply
    20,474.16x = 30,704.71 × 7,991.15
  4. Step 4: Simplify right side
    20,474.16x = 245,365,943.32
  5. Step 5: Solve for x
    x = 245,365,943.32/20,474.16
  6. Step 6: Final answer
    x = 11,984.18

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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.