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Finding the Fourth Proportional to 13,647.74, 20,438.80 and 7,786.58

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Solution

The fourth proportional to 13,647.74, 20,438.80 and 7,786.58 is: 11,661.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,647.74 : 20,438.80 = 7,786.58 : x
  2. Step 2: Convert to fraction form
    13,647.74/20,438.80 = 7,786.58/x
  3. Step 3: Cross multiply
    13,647.74x = 20,438.80 × 7,786.58
  4. Step 4: Simplify right side
    13,647.74x = 159,148,351.30
  5. Step 5: Solve for x
    x = 159,148,351.30/13,647.74
  6. Step 6: Final answer
    x = 11,661.15

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