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Finding the Fourth Proportional to 13,646.46, 20,469.69 and 3,784.92

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Solution

The fourth proportional to 13,646.46, 20,469.69 and 3,784.92 is: 5,677.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,646.46 : 20,469.69 = 3,784.92 : x
  2. Step 2: Convert to fraction form
    13,646.46/20,469.69 = 3,784.92/x
  3. Step 3: Cross multiply
    13,646.46x = 20,469.69 × 3,784.92
  4. Step 4: Simplify right side
    13,646.46x = 77,476,139.07
  5. Step 5: Solve for x
    x = 77,476,139.07/13,646.46
  6. Step 6: Final answer
    x = 5,677.38

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