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Finding the Fourth Proportional to 22,212.98, 33,314.55 and 6,414.57

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Solution

The fourth proportional to 22,212.98, 33,314.55 and 6,414.57 is: 9,620.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,212.98 : 33,314.55 = 6,414.57 : x
  2. Step 2: Convert to fraction form
    22,212.98/33,314.55 = 6,414.57/x
  3. Step 3: Cross multiply
    22,212.98x = 33,314.55 × 6,414.57
  4. Step 4: Simplify right side
    22,212.98x = 213,698,512.99
  5. Step 5: Solve for x
    x = 213,698,512.99/22,212.98
  6. Step 6: Final answer
    x = 9,620.43

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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.