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Finding the Fourth Proportional to 17,277.88, 23,843.57 and 9,724.34

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Solution

The fourth proportional to 17,277.88, 23,843.57 and 9,724.34 is: 13,419.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,277.88 : 23,843.57 = 9,724.34 : x
  2. Step 2: Convert to fraction form
    17,277.88/23,843.57 = 9,724.34/x
  3. Step 3: Cross multiply
    17,277.88x = 23,843.57 × 9,724.34
  4. Step 4: Simplify right side
    17,277.88x = 231,862,981.49
  5. Step 5: Solve for x
    x = 231,862,981.49/17,277.88
  6. Step 6: Final answer
    x = 13,419.64

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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.