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Finding the Fourth Proportional to 13,205.54, 19,780.76 and 7,923.80

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Solution

The fourth proportional to 13,205.54, 19,780.76 and 7,923.80 is: 11,869.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,205.54 : 19,780.76 = 7,923.80 : x
  2. Step 2: Convert to fraction form
    13,205.54/19,780.76 = 7,923.80/x
  3. Step 3: Cross multiply
    13,205.54x = 19,780.76 × 7,923.80
  4. Step 4: Simplify right side
    13,205.54x = 156,738,786.09
  5. Step 5: Solve for x
    x = 156,738,786.09/13,205.54
  6. Step 6: Final answer
    x = 11,869.17

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