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Finding the Fourth Proportional to 13,723.84, 20,592.48 and 6,695.68

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Solution

The fourth proportional to 13,723.84, 20,592.48 and 6,695.68 is: 10,046.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,723.84 : 20,592.48 = 6,695.68 : x
  2. Step 2: Convert to fraction form
    13,723.84/20,592.48 = 6,695.68/x
  3. Step 3: Cross multiply
    13,723.84x = 20,592.48 × 6,695.68
  4. Step 4: Simplify right side
    13,723.84x = 137,880,656.49
  5. Step 5: Solve for x
    x = 137,880,656.49/13,723.84
  6. Step 6: Final answer
    x = 10,046.80

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