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Finding the Fourth Proportional to 20,978.76, 31,458.42 and 7,821.66

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Solution

The fourth proportional to 20,978.76, 31,458.42 and 7,821.66 is: 11,728.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,978.76 : 31,458.42 = 7,821.66 : x
  2. Step 2: Convert to fraction form
    20,978.76/31,458.42 = 7,821.66/x
  3. Step 3: Cross multiply
    20,978.76x = 31,458.42 × 7,821.66
  4. Step 4: Simplify right side
    20,978.76x = 246,057,065.38
  5. Step 5: Solve for x
    x = 246,057,065.38/20,978.76
  6. Step 6: Final answer
    x = 11,728.87

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