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Finding the Fourth Proportional to 31,826.56, 47,736.08 and 8,454.80

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Solution

The fourth proportional to 31,826.56, 47,736.08 and 8,454.80 is: 12,681.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,826.56 : 47,736.08 = 8,454.80 : x
  2. Step 2: Convert to fraction form
    31,826.56/47,736.08 = 8,454.80/x
  3. Step 3: Cross multiply
    31,826.56x = 47,736.08 × 8,454.80
  4. Step 4: Simplify right side
    31,826.56x = 403,599,009.18
  5. Step 5: Solve for x
    x = 403,599,009.18/31,826.56
  6. Step 6: Final answer
    x = 12,681.20

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