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Finding the Fourth Proportional to 27,877.82, 38,461.94 and 15,932.64

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Solution

The fourth proportional to 27,877.82, 38,461.94 and 15,932.64 is: 21,981.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,877.82 : 38,461.94 = 15,932.64 : x
  2. Step 2: Convert to fraction form
    27,877.82/38,461.94 = 15,932.64/x
  3. Step 3: Cross multiply
    27,877.82x = 38,461.94 × 15,932.64
  4. Step 4: Simplify right side
    27,877.82x = 612,800,243.72
  5. Step 5: Solve for x
    x = 612,800,243.72/27,877.82
  6. Step 6: Final answer
    x = 21,981.64

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