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Finding the Fourth Proportional to 31,778.21, 47,667.63 and 9,591.77

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Solution

The fourth proportional to 31,778.21, 47,667.63 and 9,591.77 is: 14,387.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,778.21 : 47,667.63 = 9,591.77 : x
  2. Step 2: Convert to fraction form
    31,778.21/47,667.63 = 9,591.77/x
  3. Step 3: Cross multiply
    31,778.21x = 47,667.63 × 9,591.77
  4. Step 4: Simplify right side
    31,778.21x = 457,216,705.07
  5. Step 5: Solve for x
    x = 457,216,705.07/31,778.21
  6. Step 6: Final answer
    x = 14,387.74

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