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Finding the Fourth Proportional to 22,198.94, 33,314.84 and 10,512.19

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Solution

The fourth proportional to 22,198.94, 33,314.84 and 10,512.19 is: 15,776.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,198.94 : 33,314.84 = 10,512.19 : x
  2. Step 2: Convert to fraction form
    22,198.94/33,314.84 = 10,512.19/x
  3. Step 3: Cross multiply
    22,198.94x = 33,314.84 × 10,512.19
  4. Step 4: Simplify right side
    22,198.94x = 350,211,927.90
  5. Step 5: Solve for x
    x = 350,211,927.90/22,198.94
  6. Step 6: Final answer
    x = 15,776.07

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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.