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Finding the Fourth Proportional to 22,571.84, 33,789.72 and 12,152

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Solution

The fourth proportional to 22,571.84, 33,789.72 and 12,152 is: 18,191.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,571.84 : 33,789.72 = 12,152 : x
  2. Step 2: Convert to fraction form
    22,571.84/33,789.72 = 12,152/x
  3. Step 3: Cross multiply
    22,571.84x = 33,789.72 × 12,152
  4. Step 4: Simplify right side
    22,571.84x = 410,612,677.44
  5. Step 5: Solve for x
    x = 410,612,677.44/22,571.84
  6. Step 6: Final answer
    x = 18,191.37

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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.