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Finding the Fourth Proportional to 20,965.74, 31,434.03 and 7,814.58

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Solution

The fourth proportional to 20,965.74, 31,434.03 and 7,814.58 is: 11,716.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,965.74 : 31,434.03 = 7,814.58 : x
  2. Step 2: Convert to fraction form
    20,965.74/31,434.03 = 7,814.58/x
  3. Step 3: Cross multiply
    20,965.74x = 31,434.03 × 7,814.58
  4. Step 4: Simplify right side
    20,965.74x = 245,643,742.16
  5. Step 5: Solve for x
    x = 245,643,742.16/20,965.74
  6. Step 6: Final answer
    x = 11,716.44

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