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Finding the Fourth Proportional to 20,238.98, 30,367.86 and 7,754.84

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Solution

The fourth proportional to 20,238.98, 30,367.86 and 7,754.84 is: 11,635.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,238.98 : 30,367.86 = 7,754.84 : x
  2. Step 2: Convert to fraction form
    20,238.98/30,367.86 = 7,754.84/x
  3. Step 3: Cross multiply
    20,238.98x = 30,367.86 × 7,754.84
  4. Step 4: Simplify right side
    20,238.98x = 235,497,895.44
  5. Step 5: Solve for x
    x = 235,497,895.44/20,238.98
  6. Step 6: Final answer
    x = 11,635.86

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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.