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Finding the Fourth Proportional to 19,286.92, 28,910.94 and 8,200.84

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Solution

The fourth proportional to 19,286.92, 28,910.94 and 8,200.84 is: 12,292.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,286.92 : 28,910.94 = 8,200.84 : x
  2. Step 2: Convert to fraction form
    19,286.92/28,910.94 = 8,200.84/x
  3. Step 3: Cross multiply
    19,286.92x = 28,910.94 × 8,200.84
  4. Step 4: Simplify right side
    19,286.92x = 237,093,993.19
  5. Step 5: Solve for x
    x = 237,093,993.19/19,286.92
  6. Step 6: Final answer
    x = 12,292.99

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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.