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Finding the Fourth Proportional to 20,830.84, 31,249.86 and 9,145.24

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Solution

The fourth proportional to 20,830.84, 31,249.86 and 9,145.24 is: 13,719.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,830.84 : 31,249.86 = 9,145.24 : x
  2. Step 2: Convert to fraction form
    20,830.84/31,249.86 = 9,145.24/x
  3. Step 3: Cross multiply
    20,830.84x = 31,249.86 × 9,145.24
  4. Step 4: Simplify right side
    20,830.84x = 285,787,469.67
  5. Step 5: Solve for x
    x = 285,787,469.67/20,830.84
  6. Step 6: Final answer
    x = 13,719.44

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