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Finding the Fourth Proportional to 31,884.23, 47,833.64 and 9,700.76

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Solution

The fourth proportional to 31,884.23, 47,833.64 and 9,700.76 is: 14,553.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,884.23 : 47,833.64 = 9,700.76 : x
  2. Step 2: Convert to fraction form
    31,884.23/47,833.64 = 9,700.76/x
  3. Step 3: Cross multiply
    31,884.23x = 47,833.64 × 9,700.76
  4. Step 4: Simplify right side
    31,884.23x = 464,022,769.02
  5. Step 5: Solve for x
    x = 464,022,769.02/31,884.23
  6. Step 6: Final answer
    x = 14,553.36

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