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Finding the Fourth Proportional to 22,617.24, 33,919.14 and 8,566.86

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Solution

The fourth proportional to 22,617.24, 33,919.14 and 8,566.86 is: 12,847.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,617.24 : 33,919.14 = 8,566.86 : x
  2. Step 2: Convert to fraction form
    22,617.24/33,919.14 = 8,566.86/x
  3. Step 3: Cross multiply
    22,617.24x = 33,919.14 × 8,566.86
  4. Step 4: Simplify right side
    22,617.24x = 290,580,523.70
  5. Step 5: Solve for x
    x = 290,580,523.70/22,617.24
  6. Step 6: Final answer
    x = 12,847.74

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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.