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Finding the Fourth Proportional to 27,977.60, 41,966.76 and 8,256.44

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Solution

The fourth proportional to 27,977.60, 41,966.76 and 8,256.44 is: 12,384.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,977.60 : 41,966.76 = 8,256.44 : x
  2. Step 2: Convert to fraction form
    27,977.60/41,966.76 = 8,256.44/x
  3. Step 3: Cross multiply
    27,977.60x = 41,966.76 × 8,256.44
  4. Step 4: Simplify right side
    27,977.60x = 346,496,035.93
  5. Step 5: Solve for x
    x = 346,496,035.93/27,977.60
  6. Step 6: Final answer
    x = 12,384.77

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