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Finding the Fourth Proportional to 31,905.64, 47,865.27 and 9,720.78

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Solution

The fourth proportional to 31,905.64, 47,865.27 and 9,720.78 is: 14,583.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,905.64 : 47,865.27 = 9,720.78 : x
  2. Step 2: Convert to fraction form
    31,905.64/47,865.27 = 9,720.78/x
  3. Step 3: Cross multiply
    31,905.64x = 47,865.27 × 9,720.78
  4. Step 4: Simplify right side
    31,905.64x = 465,287,975.26
  5. Step 5: Solve for x
    x = 465,287,975.26/31,905.64
  6. Step 6: Final answer
    x = 14,583.25

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