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Finding the Fourth Proportional to 12,794.05, 19,202.91 and 6,558.49

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Solution

The fourth proportional to 12,794.05, 19,202.91 and 6,558.49 is: 9,843.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,794.05 : 19,202.91 = 6,558.49 : x
  2. Step 2: Convert to fraction form
    12,794.05/19,202.91 = 6,558.49/x
  3. Step 3: Cross multiply
    12,794.05x = 19,202.91 × 6,558.49
  4. Step 4: Simplify right side
    12,794.05x = 125,942,093.21
  5. Step 5: Solve for x
    x = 125,942,093.21/12,794.05
  6. Step 6: Final answer
    x = 9,843.80

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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.