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Finding the Fourth Proportional to 10,815.20, 16,222.80 and 9,688.80

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Solution

The fourth proportional to 10,815.20, 16,222.80 and 9,688.80 is: 14,533.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,815.20 : 16,222.80 = 9,688.80 : x
  2. Step 2: Convert to fraction form
    10,815.20/16,222.80 = 9,688.80/x
  3. Step 3: Cross multiply
    10,815.20x = 16,222.80 × 9,688.80
  4. Step 4: Simplify right side
    10,815.20x = 157,179,464.64
  5. Step 5: Solve for x
    x = 157,179,464.64/10,815.20
  6. Step 6: Final answer
    x = 14,533.20

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