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Finding the Fourth Proportional to 27,820.77, 41,731.52 and 7,830.47

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Solution

The fourth proportional to 27,820.77, 41,731.52 and 7,830.47 is: 11,745.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,820.77 : 41,731.52 = 7,830.47 : x
  2. Step 2: Convert to fraction form
    27,820.77/41,731.52 = 7,830.47/x
  3. Step 3: Cross multiply
    27,820.77x = 41,731.52 × 7,830.47
  4. Step 4: Simplify right side
    27,820.77x = 326,777,167.60
  5. Step 5: Solve for x
    x = 326,777,167.60/27,820.77
  6. Step 6: Final answer
    x = 11,745.80

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