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Finding the Fourth Proportional to 28,234.82, 42,375.51 and 14,198.84

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Solution

The fourth proportional to 28,234.82, 42,375.51 and 14,198.84 is: 21,309.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,234.82 : 42,375.51 = 14,198.84 : x
  2. Step 2: Convert to fraction form
    28,234.82/42,375.51 = 14,198.84/x
  3. Step 3: Cross multiply
    28,234.82x = 42,375.51 × 14,198.84
  4. Step 4: Simplify right side
    28,234.82x = 601,682,874.53
  5. Step 5: Solve for x
    x = 601,682,874.53/28,234.82
  6. Step 6: Final answer
    x = 21,309.96

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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.