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Finding the Fourth Proportional to 20,824.70, 31,186.98 and 11,913.02

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Solution

The fourth proportional to 20,824.70, 31,186.98 and 11,913.02 is: 17,840.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,824.70 : 31,186.98 = 11,913.02 : x
  2. Step 2: Convert to fraction form
    20,824.70/31,186.98 = 11,913.02/x
  3. Step 3: Cross multiply
    20,824.70x = 31,186.98 × 11,913.02
  4. Step 4: Simplify right side
    20,824.70x = 371,531,116.48
  5. Step 5: Solve for x
    x = 371,531,116.48/20,824.70
  6. Step 6: Final answer
    x = 17,840.89

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