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Finding the Fourth Proportional to 13,906.92, 19,192.02 and 7,619.31

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Solution

The fourth proportional to 13,906.92, 19,192.02 and 7,619.31 is: 10,514.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,906.92 : 19,192.02 = 7,619.31 : x
  2. Step 2: Convert to fraction form
    13,906.92/19,192.02 = 7,619.31/x
  3. Step 3: Cross multiply
    13,906.92x = 19,192.02 × 7,619.31
  4. Step 4: Simplify right side
    13,906.92x = 146,229,949.91
  5. Step 5: Solve for x
    x = 146,229,949.91/13,906.92
  6. Step 6: Final answer
    x = 10,514.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.