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Finding the Fourth Proportional to 22,166.49, 33,212.15 and 13,382.96

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Solution

The fourth proportional to 22,166.49, 33,212.15 and 13,382.96 is: 20,051.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,166.49 : 33,212.15 = 13,382.96 : x
  2. Step 2: Convert to fraction form
    22,166.49/33,212.15 = 13,382.96/x
  3. Step 3: Cross multiply
    22,166.49x = 33,212.15 × 13,382.96
  4. Step 4: Simplify right side
    22,166.49x = 444,476,641.99
  5. Step 5: Solve for x
    x = 444,476,641.99/22,166.49
  6. Step 6: Final answer
    x = 20,051.74

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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.