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Finding the Fourth Proportional to 17,496.25, 24,144.76 and 9,538.48

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Solution

The fourth proportional to 17,496.25, 24,144.76 and 9,538.48 is: 13,163.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,496.25 : 24,144.76 = 9,538.48 : x
  2. Step 2: Convert to fraction form
    17,496.25/24,144.76 = 9,538.48/x
  3. Step 3: Cross multiply
    17,496.25x = 24,144.76 × 9,538.48
  4. Step 4: Simplify right side
    17,496.25x = 230,304,393.55
  5. Step 5: Solve for x
    x = 230,304,393.55/17,496.25
  6. Step 6: Final answer
    x = 13,163.07

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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.