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Finding the Fourth Proportional to 13,816.58, 20,724.84 and 6,416.99

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Solution

The fourth proportional to 13,816.58, 20,724.84 and 6,416.99 is: 9,625.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,816.58 : 20,724.84 = 6,416.99 : x
  2. Step 2: Convert to fraction form
    13,816.58/20,724.84 = 6,416.99/x
  3. Step 3: Cross multiply
    13,816.58x = 20,724.84 × 6,416.99
  4. Step 4: Simplify right side
    13,816.58x = 132,990,987.41
  5. Step 5: Solve for x
    x = 132,990,987.41/13,816.58
  6. Step 6: Final answer
    x = 9,625.47

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