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Finding the Fourth Proportional to 27,820.71, 41,731.13 and 8,099.74

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Solution

The fourth proportional to 27,820.71, 41,731.13 and 8,099.74 is: 12,149.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,820.71 : 41,731.13 = 8,099.74 : x
  2. Step 2: Convert to fraction form
    27,820.71/41,731.13 = 8,099.74/x
  3. Step 3: Cross multiply
    27,820.71x = 41,731.13 × 8,099.74
  4. Step 4: Simplify right side
    27,820.71x = 338,011,094.25
  5. Step 5: Solve for x
    x = 338,011,094.25/27,820.71
  6. Step 6: Final answer
    x = 12,149.62

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