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Finding the Fourth Proportional to 23,947.24, 35,920.86 and 9,891.82

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Solution

The fourth proportional to 23,947.24, 35,920.86 and 9,891.82 is: 14,837.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,947.24 : 35,920.86 = 9,891.82 : x
  2. Step 2: Convert to fraction form
    23,947.24/35,920.86 = 9,891.82/x
  3. Step 3: Cross multiply
    23,947.24x = 35,920.86 × 9,891.82
  4. Step 4: Simplify right side
    23,947.24x = 355,322,591.56
  5. Step 5: Solve for x
    x = 355,322,591.56/23,947.24
  6. Step 6: Final answer
    x = 14,837.73

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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.