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Finding the Fourth Proportional to 15,812.80, 21,828.64 and 9,441.60

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Solution

The fourth proportional to 15,812.80, 21,828.64 and 9,441.60 is: 13,033.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,812.80 : 21,828.64 = 9,441.60 : x
  2. Step 2: Convert to fraction form
    15,812.80/21,828.64 = 9,441.60/x
  3. Step 3: Cross multiply
    15,812.80x = 21,828.64 × 9,441.60
  4. Step 4: Simplify right side
    15,812.80x = 206,097,287.42
  5. Step 5: Solve for x
    x = 206,097,287.42/15,812.80
  6. Step 6: Final answer
    x = 13,033.57

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