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Finding the Fourth Proportional to 17,277.98, 23,844.09 and 9,724.58

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Solution

The fourth proportional to 17,277.98, 23,844.09 and 9,724.58 is: 13,420.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,277.98 : 23,844.09 = 9,724.58 : x
  2. Step 2: Convert to fraction form
    17,277.98/23,844.09 = 9,724.58/x
  3. Step 3: Cross multiply
    17,277.98x = 23,844.09 × 9,724.58
  4. Step 4: Simplify right side
    17,277.98x = 231,873,760.73
  5. Step 5: Solve for x
    x = 231,873,760.73/17,277.98
  6. Step 6: Final answer
    x = 13,420.19

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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.