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Finding the Fourth Proportional to 23,922.36, 32,978.30 and 15,842.50

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Solution

The fourth proportional to 23,922.36, 32,978.30 and 15,842.50 is: 21,839.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,922.36 : 32,978.30 = 15,842.50 : x
  2. Step 2: Convert to fraction form
    23,922.36/32,978.30 = 15,842.50/x
  3. Step 3: Cross multiply
    23,922.36x = 32,978.30 × 15,842.50
  4. Step 4: Simplify right side
    23,922.36x = 522,458,717.75
  5. Step 5: Solve for x
    x = 522,458,717.75/23,922.36
  6. Step 6: Final answer
    x = 21,839.76

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