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Finding the Fourth Proportional to 23,897.82, 32,969.52 and 13,824.39

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Solution

The fourth proportional to 23,897.82, 32,969.52 and 13,824.39 is: 19,072.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,897.82 : 32,969.52 = 13,824.39 : x
  2. Step 2: Convert to fraction form
    23,897.82/32,969.52 = 13,824.39/x
  3. Step 3: Cross multiply
    23,897.82x = 32,969.52 × 13,824.39
  4. Step 4: Simplify right side
    23,897.82x = 455,783,502.59
  5. Step 5: Solve for x
    x = 455,783,502.59/23,897.82
  6. Step 6: Final answer
    x = 19,072.18

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