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Finding the Fourth Proportional to 13,519.64, 20,283.80 and 6,500.16

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Solution

The fourth proportional to 13,519.64, 20,283.80 and 6,500.16 is: 9,752.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,519.64 : 20,283.80 = 6,500.16 : x
  2. Step 2: Convert to fraction form
    13,519.64/20,283.80 = 6,500.16/x
  3. Step 3: Cross multiply
    13,519.64x = 20,283.80 × 6,500.16
  4. Step 4: Simplify right side
    13,519.64x = 131,847,945.41
  5. Step 5: Solve for x
    x = 131,847,945.41/13,519.64
  6. Step 6: Final answer
    x = 9,752.33

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