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Finding the Fourth Proportional to 20,823.76, 31,238.24 and 6,785.21

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Solution

The fourth proportional to 20,823.76, 31,238.24 and 6,785.21 is: 10,178.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,823.76 : 31,238.24 = 6,785.21 : x
  2. Step 2: Convert to fraction form
    20,823.76/31,238.24 = 6,785.21/x
  3. Step 3: Cross multiply
    20,823.76x = 31,238.24 × 6,785.21
  4. Step 4: Simplify right side
    20,823.76x = 211,957,828.31
  5. Step 5: Solve for x
    x = 211,957,828.31/20,823.76
  6. Step 6: Final answer
    x = 10,178.66

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