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Finding the Fourth Proportional to 19,286.38, 28,933.84 and 8,202.58

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Solution

The fourth proportional to 19,286.38, 28,933.84 and 8,202.58 is: 12,305.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,286.38 : 28,933.84 = 8,202.58 : x
  2. Step 2: Convert to fraction form
    19,286.38/28,933.84 = 8,202.58/x
  3. Step 3: Cross multiply
    19,286.38x = 28,933.84 × 8,202.58
  4. Step 4: Simplify right side
    19,286.38x = 237,332,137.31
  5. Step 5: Solve for x
    x = 237,332,137.31/19,286.38
  6. Step 6: Final answer
    x = 12,305.69

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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.