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Finding the Fourth Proportional to 22,165.74, 33,211.02 and 13,382.21

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Solution

The fourth proportional to 22,165.74, 33,211.02 and 13,382.21 is: 20,050.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,165.74 : 33,211.02 = 13,382.21 : x
  2. Step 2: Convert to fraction form
    22,165.74/33,211.02 = 13,382.21/x
  3. Step 3: Cross multiply
    22,165.74x = 33,211.02 × 13,382.21
  4. Step 4: Simplify right side
    22,165.74x = 444,436,677.90
  5. Step 5: Solve for x
    x = 444,436,677.90/22,165.74
  6. Step 6: Final answer
    x = 20,050.61

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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.