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Finding the Fourth Proportional to 17,077.50, 23,571.27 and 9,629.82

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Solution

The fourth proportional to 17,077.50, 23,571.27 and 9,629.82 is: 13,291.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,077.50 : 23,571.27 = 9,629.82 : x
  2. Step 2: Convert to fraction form
    17,077.50/23,571.27 = 9,629.82/x
  3. Step 3: Cross multiply
    17,077.50x = 23,571.27 × 9,629.82
  4. Step 4: Simplify right side
    17,077.50x = 226,987,087.27
  5. Step 5: Solve for x
    x = 226,987,087.27/17,077.50
  6. Step 6: Final answer
    x = 13,291.59

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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.