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Finding the Fourth Proportional to 22,214.92, 33,305.92 and 13,447.84

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Solution

The fourth proportional to 22,214.92, 33,305.92 and 13,447.84 is: 20,161.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,214.92 : 33,305.92 = 13,447.84 : x
  2. Step 2: Convert to fraction form
    22,214.92/33,305.92 = 13,447.84/x
  3. Step 3: Cross multiply
    22,214.92x = 33,305.92 × 13,447.84
  4. Step 4: Simplify right side
    22,214.92x = 447,892,683.21
  5. Step 5: Solve for x
    x = 447,892,683.21/22,214.92
  6. Step 6: Final answer
    x = 20,161.80

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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.