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Finding the Fourth Proportional to 31,783.28, 47,675.21 and 9,596.84

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Solution

The fourth proportional to 31,783.28, 47,675.21 and 9,596.84 is: 14,395.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,783.28 : 47,675.21 = 9,596.84 : x
  2. Step 2: Convert to fraction form
    31,783.28/47,675.21 = 9,596.84/x
  3. Step 3: Cross multiply
    31,783.28x = 47,675.21 × 9,596.84
  4. Step 4: Simplify right side
    31,783.28x = 457,531,075.98
  5. Step 5: Solve for x
    x = 457,531,075.98/31,783.28
  6. Step 6: Final answer
    x = 14,395.34

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