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Finding the Fourth Proportional to 19,634.49, 29,451.60 and 7,947.54

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Solution

The fourth proportional to 19,634.49, 29,451.60 and 7,947.54 is: 11,921.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,634.49 : 29,451.60 = 7,947.54 : x
  2. Step 2: Convert to fraction form
    19,634.49/29,451.60 = 7,947.54/x
  3. Step 3: Cross multiply
    19,634.49x = 29,451.60 × 7,947.54
  4. Step 4: Simplify right side
    19,634.49x = 234,067,769.06
  5. Step 5: Solve for x
    x = 234,067,769.06/19,634.49
  6. Step 6: Final answer
    x = 11,921.26

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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.