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Finding the Fourth Proportional to 22,687.72, 34,043.14 and 10,205.26

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Solution

The fourth proportional to 22,687.72, 34,043.14 and 10,205.26 is: 15,313.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,687.72 : 34,043.14 = 10,205.26 : x
  2. Step 2: Convert to fraction form
    22,687.72/34,043.14 = 10,205.26/x
  3. Step 3: Cross multiply
    22,687.72x = 34,043.14 × 10,205.26
  4. Step 4: Simplify right side
    22,687.72x = 347,419,094.92
  5. Step 5: Solve for x
    x = 347,419,094.92/22,687.72
  6. Step 6: Final answer
    x = 15,313.09

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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.