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Finding the Fourth Proportional to 23,819.20, 35,728.80 and 9,023.20

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Solution

The fourth proportional to 23,819.20, 35,728.80 and 9,023.20 is: 13,534.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,819.20 : 35,728.80 = 9,023.20 : x
  2. Step 2: Convert to fraction form
    23,819.20/35,728.80 = 9,023.20/x
  3. Step 3: Cross multiply
    23,819.20x = 35,728.80 × 9,023.20
  4. Step 4: Simplify right side
    23,819.20x = 322,388,108.16
  5. Step 5: Solve for x
    x = 322,388,108.16/23,819.20
  6. Step 6: Final answer
    x = 13,534.80

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