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Finding the Fourth Proportional to 17,277.70, 23,843.20 and 9,724.09

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Solution

The fourth proportional to 17,277.70, 23,843.20 and 9,724.09 is: 13,419.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,277.70 : 23,843.20 = 9,724.09 : x
  2. Step 2: Convert to fraction form
    17,277.70/23,843.20 = 9,724.09/x
  3. Step 3: Cross multiply
    17,277.70x = 23,843.20 × 9,724.09
  4. Step 4: Simplify right side
    17,277.70x = 231,853,303.47
  5. Step 5: Solve for x
    x = 231,853,303.47/17,277.70
  6. Step 6: Final answer
    x = 13,419.22

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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.