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Finding the Fourth Proportional to 15,983.06, 23,982.70 and 10,778

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Solution

The fourth proportional to 15,983.06, 23,982.70 and 10,778 is: 16,172.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,983.06 : 23,982.70 = 10,778 : x
  2. Step 2: Convert to fraction form
    15,983.06/23,982.70 = 10,778/x
  3. Step 3: Cross multiply
    15,983.06x = 23,982.70 × 10,778
  4. Step 4: Simplify right side
    15,983.06x = 258,485,540.60
  5. Step 5: Solve for x
    x = 258,485,540.60/15,983.06
  6. Step 6: Final answer
    x = 16,172.47

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