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Finding the Fourth Proportional to 26,096.80, 39,123.60 and 13,784.80

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Solution

The fourth proportional to 26,096.80, 39,123.60 and 13,784.80 is: 20,665.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,096.80 : 39,123.60 = 13,784.80 : x
  2. Step 2: Convert to fraction form
    26,096.80/39,123.60 = 13,784.80/x
  3. Step 3: Cross multiply
    26,096.80x = 39,123.60 × 13,784.80
  4. Step 4: Simplify right side
    26,096.80x = 539,311,001.28
  5. Step 5: Solve for x
    x = 539,311,001.28/26,096.80
  6. Step 6: Final answer
    x = 20,665.79

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