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Finding the Fourth Proportional to 17,007.72, 23,467.97 and 9,834.98

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Solution

The fourth proportional to 17,007.72, 23,467.97 and 9,834.98 is: 13,570.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,007.72 : 23,467.97 = 9,834.98 : x
  2. Step 2: Convert to fraction form
    17,007.72/23,467.97 = 9,834.98/x
  3. Step 3: Cross multiply
    17,007.72x = 23,467.97 × 9,834.98
  4. Step 4: Simplify right side
    17,007.72x = 230,806,849.08
  5. Step 5: Solve for x
    x = 230,806,849.08/17,007.72
  6. Step 6: Final answer
    x = 13,570.71

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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.