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Finding the Fourth Proportional to 20,864.54, 31,298.74 and 6,824.64

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Solution

The fourth proportional to 20,864.54, 31,298.74 and 6,824.64 is: 10,237.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,864.54 : 31,298.74 = 6,824.64 : x
  2. Step 2: Convert to fraction form
    20,864.54/31,298.74 = 6,824.64/x
  3. Step 3: Cross multiply
    20,864.54x = 31,298.74 × 6,824.64
  4. Step 4: Simplify right side
    20,864.54x = 213,602,632.95
  5. Step 5: Solve for x
    x = 213,602,632.95/20,864.54
  6. Step 6: Final answer
    x = 10,237.59

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