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Finding the Fourth Proportional to 13,699.84, 20,536.80 and 6,766.24

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Solution

The fourth proportional to 13,699.84, 20,536.80 and 6,766.24 is: 10,142.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,699.84 : 20,536.80 = 6,766.24 : x
  2. Step 2: Convert to fraction form
    13,699.84/20,536.80 = 6,766.24/x
  3. Step 3: Cross multiply
    13,699.84x = 20,536.80 × 6,766.24
  4. Step 4: Simplify right side
    13,699.84x = 138,956,917.63
  5. Step 5: Solve for x
    x = 138,956,917.63/13,699.84
  6. Step 6: Final answer
    x = 10,142.96

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