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Finding the Fourth Proportional to 27,580.80, 41,371.20 and 17,666.40

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Solution

The fourth proportional to 27,580.80, 41,371.20 and 17,666.40 is: 26,499.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,580.80 : 41,371.20 = 17,666.40 : x
  2. Step 2: Convert to fraction form
    27,580.80/41,371.20 = 17,666.40/x
  3. Step 3: Cross multiply
    27,580.80x = 41,371.20 × 17,666.40
  4. Step 4: Simplify right side
    27,580.80x = 730,880,167.68
  5. Step 5: Solve for x
    x = 730,880,167.68/27,580.80
  6. Step 6: Final answer
    x = 26,499.60

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