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Finding the Fourth Proportional to 12,832.38, 19,230.22 and 5,794.92

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Solution

The fourth proportional to 12,832.38, 19,230.22 and 5,794.92 is: 8,684.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,832.38 : 19,230.22 = 5,794.92 : x
  2. Step 2: Convert to fraction form
    12,832.38/19,230.22 = 5,794.92/x
  3. Step 3: Cross multiply
    12,832.38x = 19,230.22 × 5,794.92
  4. Step 4: Simplify right side
    12,832.38x = 111,437,586.48
  5. Step 5: Solve for x
    x = 111,437,586.48/12,832.38
  6. Step 6: Final answer
    x = 8,684.09

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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.