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Finding the Fourth Proportional to 22,070.24, 33,105.84 and 8,216.48

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Solution

The fourth proportional to 22,070.24, 33,105.84 and 8,216.48 is: 12,324.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,070.24 : 33,105.84 = 8,216.48 : x
  2. Step 2: Convert to fraction form
    22,070.24/33,105.84 = 8,216.48/x
  3. Step 3: Cross multiply
    22,070.24x = 33,105.84 × 8,216.48
  4. Step 4: Simplify right side
    22,070.24x = 272,013,472.24
  5. Step 5: Solve for x
    x = 272,013,472.24/22,070.24
  6. Step 6: Final answer
    x = 12,324.90

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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.