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Finding the Fourth Proportional to 22,562.50, 33,843.06 and 10,724.80

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Solution

The fourth proportional to 22,562.50, 33,843.06 and 10,724.80 is: 16,086.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,562.50 : 33,843.06 = 10,724.80 : x
  2. Step 2: Convert to fraction form
    22,562.50/33,843.06 = 10,724.80/x
  3. Step 3: Cross multiply
    22,562.50x = 33,843.06 × 10,724.80
  4. Step 4: Simplify right side
    22,562.50x = 362,960,049.89
  5. Step 5: Solve for x
    x = 362,960,049.89/22,562.50
  6. Step 6: Final answer
    x = 16,086.87

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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.