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Finding the Fourth Proportional to 19,879.12, 29,832.38 and 8,192.36

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Solution

The fourth proportional to 19,879.12, 29,832.38 and 8,192.36 is: 12,294.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,879.12 : 29,832.38 = 8,192.36 : x
  2. Step 2: Convert to fraction form
    19,879.12/29,832.38 = 8,192.36/x
  3. Step 3: Cross multiply
    19,879.12x = 29,832.38 × 8,192.36
  4. Step 4: Simplify right side
    19,879.12x = 244,397,596.62
  5. Step 5: Solve for x
    x = 244,397,596.62/19,879.12
  6. Step 6: Final answer
    x = 12,294.19

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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.