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Finding the Fourth Proportional to 17,682.75, 24,401.57 and 9,724.50

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Solution

The fourth proportional to 17,682.75, 24,401.57 and 9,724.50 is: 13,419.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,682.75 : 24,401.57 = 9,724.50 : x
  2. Step 2: Convert to fraction form
    17,682.75/24,401.57 = 9,724.50/x
  3. Step 3: Cross multiply
    17,682.75x = 24,401.57 × 9,724.50
  4. Step 4: Simplify right side
    17,682.75x = 237,293,018.84
  5. Step 5: Solve for x
    x = 237,293,018.84/17,682.75
  6. Step 6: Final answer
    x = 13,419.46

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