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Finding the Fourth Proportional to 22,133.50, 33,180.24 and 8,083.62

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Solution

The fourth proportional to 22,133.50, 33,180.24 and 8,083.62 is: 12,118.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,133.50 : 33,180.24 = 8,083.62 : x
  2. Step 2: Convert to fraction form
    22,133.50/33,180.24 = 8,083.62/x
  3. Step 3: Cross multiply
    22,133.50x = 33,180.24 × 8,083.62
  4. Step 4: Simplify right side
    22,133.50x = 268,216,451.67
  5. Step 5: Solve for x
    x = 268,216,451.67/22,133.50
  6. Step 6: Final answer
    x = 12,118.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.