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Finding the Fourth Proportional to 19,949.24, 29,928.97 and 7,469.44

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Solution

The fourth proportional to 19,949.24, 29,928.97 and 7,469.44 is: 11,206.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,949.24 : 29,928.97 = 7,469.44 : x
  2. Step 2: Convert to fraction form
    19,949.24/29,928.97 = 7,469.44/x
  3. Step 3: Cross multiply
    19,949.24x = 29,928.97 × 7,469.44
  4. Step 4: Simplify right side
    19,949.24x = 223,552,645.68
  5. Step 5: Solve for x
    x = 223,552,645.68/19,949.24
  6. Step 6: Final answer
    x = 11,206.07

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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.