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Finding the Fourth Proportional to 20,964.84, 31,378.16 and 11,462.64

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Solution

The fourth proportional to 20,964.84, 31,378.16 and 11,462.64 is: 17,156.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,964.84 : 31,378.16 = 11,462.64 : x
  2. Step 2: Convert to fraction form
    20,964.84/31,378.16 = 11,462.64/x
  3. Step 3: Cross multiply
    20,964.84x = 31,378.16 × 11,462.64
  4. Step 4: Simplify right side
    20,964.84x = 359,676,551.94
  5. Step 5: Solve for x
    x = 359,676,551.94/20,964.84
  6. Step 6: Final answer
    x = 17,156.18

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