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Finding the Fourth Proportional to 20,033.98, 30,050.84 and 8,185.23

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Solution

The fourth proportional to 20,033.98, 30,050.84 and 8,185.23 is: 12,277.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,033.98 : 30,050.84 = 8,185.23 : x
  2. Step 2: Convert to fraction form
    20,033.98/30,050.84 = 8,185.23/x
  3. Step 3: Cross multiply
    20,033.98x = 30,050.84 × 8,185.23
  4. Step 4: Simplify right side
    20,033.98x = 245,973,057.56
  5. Step 5: Solve for x
    x = 245,973,057.56/20,033.98
  6. Step 6: Final answer
    x = 12,277.79

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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.