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Finding the Fourth Proportional to 22,063.74, 33,098.70 and 8,022.18

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Solution

The fourth proportional to 22,063.74, 33,098.70 and 8,022.18 is: 12,034.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,063.74 : 33,098.70 = 8,022.18 : x
  2. Step 2: Convert to fraction form
    22,063.74/33,098.70 = 8,022.18/x
  3. Step 3: Cross multiply
    22,063.74x = 33,098.70 × 8,022.18
  4. Step 4: Simplify right side
    22,063.74x = 265,523,729.17
  5. Step 5: Solve for x
    x = 265,523,729.17/22,063.74
  6. Step 6: Final answer
    x = 12,034.39

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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.