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Finding the Fourth Proportional to 19,634.50, 29,451.60 and 7,947.55

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Solution

The fourth proportional to 19,634.50, 29,451.60 and 7,947.55 is: 11,921.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,634.50 : 29,451.60 = 7,947.55 : x
  2. Step 2: Convert to fraction form
    19,634.50/29,451.60 = 7,947.55/x
  3. Step 3: Cross multiply
    19,634.50x = 29,451.60 × 7,947.55
  4. Step 4: Simplify right side
    19,634.50x = 234,067,916.32
  5. Step 5: Solve for x
    x = 234,067,916.32/19,634.50
  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.