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Finding the Fourth Proportional to 20,977.92, 31,443.84 and 9,282.24

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Solution

The fourth proportional to 20,977.92, 31,443.84 and 9,282.24 is: 13,913.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,977.92 : 31,443.84 = 9,282.24 : x
  2. Step 2: Convert to fraction form
    20,977.92/31,443.84 = 9,282.24/x
  3. Step 3: Cross multiply
    20,977.92x = 31,443.84 × 9,282.24
  4. Step 4: Simplify right side
    20,977.92x = 291,869,269.40
  5. Step 5: Solve for x
    x = 291,869,269.40/20,977.92
  6. Step 6: Final answer
    x = 13,913.17

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