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Finding the Fourth Proportional to 22,553.49, 33,856.41 and 13,200.22

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Solution

The fourth proportional to 22,553.49, 33,856.41 and 13,200.22 is: 19,815.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,553.49 : 33,856.41 = 13,200.22 : x
  2. Step 2: Convert to fraction form
    22,553.49/33,856.41 = 13,200.22/x
  3. Step 3: Cross multiply
    22,553.49x = 33,856.41 × 13,200.22
  4. Step 4: Simplify right side
    22,553.49x = 446,912,060.41
  5. Step 5: Solve for x
    x = 446,912,060.41/22,553.49
  6. Step 6: Final answer
    x = 19,815.65

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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.