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Finding the Fourth Proportional to 17,134.09, 23,647.97 and 9,968.17

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Solution

The fourth proportional to 17,134.09, 23,647.97 and 9,968.17 is: 13,757.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,134.09 : 23,647.97 = 9,968.17 : x
  2. Step 2: Convert to fraction form
    17,134.09/23,647.97 = 9,968.17/x
  3. Step 3: Cross multiply
    17,134.09x = 23,647.97 × 9,968.17
  4. Step 4: Simplify right side
    17,134.09x = 235,726,985.11
  5. Step 5: Solve for x
    x = 235,726,985.11/17,134.09
  6. Step 6: Final answer
    x = 13,757.78

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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.