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Finding the Fourth Proportional to 14,105.76, 19,464.64 and 7,817.60

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Solution

The fourth proportional to 14,105.76, 19,464.64 and 7,817.60 is: 10,787.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,105.76 : 19,464.64 = 7,817.60 : x
  2. Step 2: Convert to fraction form
    14,105.76/19,464.64 = 7,817.60/x
  3. Step 3: Cross multiply
    14,105.76x = 19,464.64 × 7,817.60
  4. Step 4: Simplify right side
    14,105.76x = 152,166,769.66
  5. Step 5: Solve for x
    x = 152,166,769.66/14,105.76
  6. Step 6: Final answer
    x = 10,787.56

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