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Finding the Fourth Proportional to 30,971.22, 42,740.46 and 16,824.30

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Solution

The fourth proportional to 30,971.22, 42,740.46 and 16,824.30 is: 23,217.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,971.22 : 42,740.46 = 16,824.30 : x
  2. Step 2: Convert to fraction form
    30,971.22/42,740.46 = 16,824.30/x
  3. Step 3: Cross multiply
    30,971.22x = 42,740.46 × 16,824.30
  4. Step 4: Simplify right side
    30,971.22x = 719,078,321.18
  5. Step 5: Solve for x
    x = 719,078,321.18/30,971.22
  6. Step 6: Final answer
    x = 23,217.63

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