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Finding the Fourth Proportional to 22,145.74, 33,218.78 and 8,106.21

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Solution

The fourth proportional to 22,145.74, 33,218.78 and 8,106.21 is: 12,159.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,145.74 : 33,218.78 = 8,106.21 : x
  2. Step 2: Convert to fraction form
    22,145.74/33,218.78 = 8,106.21/x
  3. Step 3: Cross multiply
    22,145.74x = 33,218.78 × 8,106.21
  4. Step 4: Simplify right side
    22,145.74x = 269,278,366.09
  5. Step 5: Solve for x
    x = 269,278,366.09/22,145.74
  6. Step 6: Final answer
    x = 12,159.38

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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.