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Finding the Fourth Proportional to 31,778.62, 47,674.78 and 9,590.14

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Solution

The fourth proportional to 31,778.62, 47,674.78 and 9,590.14 is: 14,387.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,778.62 : 47,674.78 = 9,590.14 : x
  2. Step 2: Convert to fraction form
    31,778.62/47,674.78 = 9,590.14/x
  3. Step 3: Cross multiply
    31,778.62x = 47,674.78 × 9,590.14
  4. Step 4: Simplify right side
    31,778.62x = 457,207,814.67
  5. Step 5: Solve for x
    x = 457,207,814.67/31,778.62
  6. Step 6: Final answer
    x = 14,387.28

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