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Finding the Fourth Proportional to 24,791.44, 37,183.88 and 9,206.96

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Solution

The fourth proportional to 24,791.44, 37,183.88 and 9,206.96 is: 13,809.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,791.44 : 37,183.88 = 9,206.96 : x
  2. Step 2: Convert to fraction form
    24,791.44/37,183.88 = 9,206.96/x
  3. Step 3: Cross multiply
    24,791.44x = 37,183.88 × 9,206.96
  4. Step 4: Simplify right side
    24,791.44x = 342,350,495.80
  5. Step 5: Solve for x
    x = 342,350,495.80/24,791.44
  6. Step 6: Final answer
    x = 13,809.22

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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.