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Finding the Fourth Proportional to 22,159.84, 33,239.70 and 8,120.92

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Solution

The fourth proportional to 22,159.84, 33,239.70 and 8,120.92 is: 12,181.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,159.84 : 33,239.70 = 8,120.92 : x
  2. Step 2: Convert to fraction form
    22,159.84/33,239.70 = 8,120.92/x
  3. Step 3: Cross multiply
    22,159.84x = 33,239.70 × 8,120.92
  4. Step 4: Simplify right side
    22,159.84x = 269,936,944.52
  5. Step 5: Solve for x
    x = 269,936,944.52/22,159.84
  6. Step 6: Final answer
    x = 12,181.36

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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.