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Finding the Fourth Proportional to 20,826.64, 31,235.10 and 9,722.80

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Solution

The fourth proportional to 20,826.64, 31,235.10 and 9,722.80 is: 14,581.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,826.64 : 31,235.10 = 9,722.80 : x
  2. Step 2: Convert to fraction form
    20,826.64/31,235.10 = 9,722.80/x
  3. Step 3: Cross multiply
    20,826.64x = 31,235.10 × 9,722.80
  4. Step 4: Simplify right side
    20,826.64x = 303,692,630.28
  5. Step 5: Solve for x
    x = 303,692,630.28/20,826.64
  6. Step 6: Final answer
    x = 14,581.93

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