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Finding the Fourth Proportional to 20,805.84, 31,209.30 and 7,649.64

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Solution

The fourth proportional to 20,805.84, 31,209.30 and 7,649.64 is: 11,474.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,805.84 : 31,209.30 = 7,649.64 : x
  2. Step 2: Convert to fraction form
    20,805.84/31,209.30 = 7,649.64/x
  3. Step 3: Cross multiply
    20,805.84x = 31,209.30 × 7,649.64
  4. Step 4: Simplify right side
    20,805.84x = 238,739,909.65
  5. Step 5: Solve for x
    x = 238,739,909.65/20,805.84
  6. Step 6: Final answer
    x = 11,474.66

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