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Finding the Fourth Proportional to 31,774.62, 47,668.14 and 9,589.80

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Solution

The fourth proportional to 31,774.62, 47,668.14 and 9,589.80 is: 14,386.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,774.62 : 47,668.14 = 9,589.80 : x
  2. Step 2: Convert to fraction form
    31,774.62/47,668.14 = 9,589.80/x
  3. Step 3: Cross multiply
    31,774.62x = 47,668.14 × 9,589.80
  4. Step 4: Simplify right side
    31,774.62x = 457,127,928.97
  5. Step 5: Solve for x
    x = 457,127,928.97/31,774.62
  6. Step 6: Final answer
    x = 14,386.57

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