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Finding the Fourth Proportional to 17,791.98, 24,552.67 and 9,834.03

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Solution

The fourth proportional to 17,791.98, 24,552.67 and 9,834.03 is: 13,570.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,791.98 : 24,552.67 = 9,834.03 : x
  2. Step 2: Convert to fraction form
    17,791.98/24,552.67 = 9,834.03/x
  3. Step 3: Cross multiply
    17,791.98x = 24,552.67 × 9,834.03
  4. Step 4: Simplify right side
    17,791.98x = 241,451,756.27
  5. Step 5: Solve for x
    x = 241,451,756.27/17,791.98
  6. Step 6: Final answer
    x = 13,570.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.