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Finding the Fourth Proportional to 22,382.17, 33,543.01 and 8,523.61

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Solution

The fourth proportional to 22,382.17, 33,543.01 and 8,523.61 is: 12,773.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,382.17 : 33,543.01 = 8,523.61 : x
  2. Step 2: Convert to fraction form
    22,382.17/33,543.01 = 8,523.61/x
  3. Step 3: Cross multiply
    22,382.17x = 33,543.01 × 8,523.61
  4. Step 4: Simplify right side
    22,382.17x = 285,907,535.47
  5. Step 5: Solve for x
    x = 285,907,535.47/22,382.17
  6. Step 6: Final answer
    x = 12,773.90

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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.