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Finding the Fourth Proportional to 10,967.20, 16,402.80 and 9,805.60

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Solution

The fourth proportional to 10,967.20, 16,402.80 and 9,805.60 is: 14,665.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,967.20 : 16,402.80 = 9,805.60 : x
  2. Step 2: Convert to fraction form
    10,967.20/16,402.80 = 9,805.60/x
  3. Step 3: Cross multiply
    10,967.20x = 16,402.80 × 9,805.60
  4. Step 4: Simplify right side
    10,967.20x = 160,839,295.68
  5. Step 5: Solve for x
    x = 160,839,295.68/10,967.20
  6. Step 6: Final answer
    x = 14,665.48

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