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Finding the Fourth Proportional to 17,028.27, 23,498.24 and 9,857.84

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Solution

The fourth proportional to 17,028.27, 23,498.24 and 9,857.84 is: 13,603.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,028.27 : 23,498.24 = 9,857.84 : x
  2. Step 2: Convert to fraction form
    17,028.27/23,498.24 = 9,857.84/x
  3. Step 3: Cross multiply
    17,028.27x = 23,498.24 × 9,857.84
  4. Step 4: Simplify right side
    17,028.27x = 231,641,723.42
  5. Step 5: Solve for x
    x = 231,641,723.42/17,028.27
  6. Step 6: Final answer
    x = 13,603.36

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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.