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Finding the Fourth Proportional to 13,578.75, 20,372.09 and 5,788.35

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Solution

The fourth proportional to 13,578.75, 20,372.09 and 5,788.35 is: 8,684.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,578.75 : 20,372.09 = 5,788.35 : x
  2. Step 2: Convert to fraction form
    13,578.75/20,372.09 = 5,788.35/x
  3. Step 3: Cross multiply
    13,578.75x = 20,372.09 × 5,788.35
  4. Step 4: Simplify right side
    13,578.75x = 117,920,758.21
  5. Step 5: Solve for x
    x = 117,920,758.21/13,578.75
  6. Step 6: Final answer
    x = 8,684.21

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