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Finding the Fourth Proportional to 22,623.30, 33,936.57 and 6,827.09

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Solution

The fourth proportional to 22,623.30, 33,936.57 and 6,827.09 is: 10,241.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,623.30 : 33,936.57 = 6,827.09 : x
  2. Step 2: Convert to fraction form
    22,623.30/33,936.57 = 6,827.09/x
  3. Step 3: Cross multiply
    22,623.30x = 33,936.57 × 6,827.09
  4. Step 4: Simplify right side
    22,623.30x = 231,687,848.00
  5. Step 5: Solve for x
    x = 231,687,848.00/22,623.30
  6. Step 6: Final answer
    x = 10,241.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.