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Finding the Fourth Proportional to 20,180.86, 30,272.91 and 6,142.12

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Solution

The fourth proportional to 20,180.86, 30,272.91 and 6,142.12 is: 9,213.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,180.86 : 30,272.91 = 6,142.12 : x
  2. Step 2: Convert to fraction form
    20,180.86/30,272.91 = 6,142.12/x
  3. Step 3: Cross multiply
    20,180.86x = 30,272.91 × 6,142.12
  4. Step 4: Simplify right side
    20,180.86x = 185,939,845.97
  5. Step 5: Solve for x
    x = 185,939,845.97/20,180.86
  6. Step 6: Final answer
    x = 9,213.67

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