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Finding the Fourth Proportional to 15,906.78, 21,947.76 and 9,936.27

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Solution

The fourth proportional to 15,906.78, 21,947.76 and 9,936.27 is: 13,709.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,906.78 : 21,947.76 = 9,936.27 : x
  2. Step 2: Convert to fraction form
    15,906.78/21,947.76 = 9,936.27/x
  3. Step 3: Cross multiply
    15,906.78x = 21,947.76 × 9,936.27
  4. Step 4: Simplify right side
    15,906.78x = 218,078,869.26
  5. Step 5: Solve for x
    x = 218,078,869.26/15,906.78
  6. Step 6: Final answer
    x = 13,709.81

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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.