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Finding the Fourth Proportional to 18,564.30, 27,849.57 and 9,204.78

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Solution

The fourth proportional to 18,564.30, 27,849.57 and 9,204.78 is: 13,808.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,564.30 : 27,849.57 = 9,204.78 : x
  2. Step 2: Convert to fraction form
    18,564.30/27,849.57 = 9,204.78/x
  3. Step 3: Cross multiply
    18,564.30x = 27,849.57 × 9,204.78
  4. Step 4: Simplify right side
    18,564.30x = 256,349,164.94
  5. Step 5: Solve for x
    x = 256,349,164.94/18,564.30
  6. Step 6: Final answer
    x = 13,808.72

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