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Finding the Fourth Proportional to 21,105.43, 31,665.37 and 7,961.56

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Solution

The fourth proportional to 21,105.43, 31,665.37 and 7,961.56 is: 11,945.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,105.43 : 31,665.37 = 7,961.56 : x
  2. Step 2: Convert to fraction form
    21,105.43/31,665.37 = 7,961.56/x
  3. Step 3: Cross multiply
    21,105.43x = 31,665.37 × 7,961.56
  4. Step 4: Simplify right side
    21,105.43x = 252,105,743.18
  5. Step 5: Solve for x
    x = 252,105,743.18/21,105.43
  6. Step 6: Final answer
    x = 11,945.07

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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.