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Finding the Fourth Proportional to 31,854.82, 47,782.51 and 9,668.19

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Solution

The fourth proportional to 31,854.82, 47,782.51 and 9,668.19 is: 14,502.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,854.82 : 47,782.51 = 9,668.19 : x
  2. Step 2: Convert to fraction form
    31,854.82/47,782.51 = 9,668.19/x
  3. Step 3: Cross multiply
    31,854.82x = 47,782.51 × 9,668.19
  4. Step 4: Simplify right side
    31,854.82x = 461,970,385.36
  5. Step 5: Solve for x
    x = 461,970,385.36/31,854.82
  6. Step 6: Final answer
    x = 14,502.37

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