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Finding the Fourth Proportional to 22,624.25, 33,947.69 and 10,153.19

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Solution

The fourth proportional to 22,624.25, 33,947.69 and 10,153.19 is: 15,234.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,624.25 : 33,947.69 = 10,153.19 : x
  2. Step 2: Convert to fraction form
    22,624.25/33,947.69 = 10,153.19/x
  3. Step 3: Cross multiply
    22,624.25x = 33,947.69 × 10,153.19
  4. Step 4: Simplify right side
    22,624.25x = 344,677,380.73
  5. Step 5: Solve for x
    x = 344,677,380.73/22,624.25
  6. Step 6: Final answer
    x = 15,234.86

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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.