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Finding the Fourth Proportional to 22,241.94, 33,376.07 and 8,211.75

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Solution

The fourth proportional to 22,241.94, 33,376.07 and 8,211.75 is: 12,322.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,241.94 : 33,376.07 = 8,211.75 : x
  2. Step 2: Convert to fraction form
    22,241.94/33,376.07 = 8,211.75/x
  3. Step 3: Cross multiply
    22,241.94x = 33,376.07 × 8,211.75
  4. Step 4: Simplify right side
    22,241.94x = 274,075,942.82
  5. Step 5: Solve for x
    x = 274,075,942.82/22,241.94
  6. Step 6: Final answer
    x = 12,322.48

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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.