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Finding the Fourth Proportional to 17,517.77, 24,174.25 and 9,559.82

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Solution

The fourth proportional to 17,517.77, 24,174.25 and 9,559.82 is: 13,192.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,517.77 : 24,174.25 = 9,559.82 : x
  2. Step 2: Convert to fraction form
    17,517.77/24,174.25 = 9,559.82/x
  3. Step 3: Cross multiply
    17,517.77x = 24,174.25 × 9,559.82
  4. Step 4: Simplify right side
    17,517.77x = 231,101,515.17
  5. Step 5: Solve for x
    x = 231,101,515.17/17,517.77
  6. Step 6: Final answer
    x = 13,192.41

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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.