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Finding the Fourth Proportional to 22,767.72, 34,150.21 and 8,533.39

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Solution

The fourth proportional to 22,767.72, 34,150.21 and 8,533.39 is: 12,799.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,767.72 : 34,150.21 = 8,533.39 : x
  2. Step 2: Convert to fraction form
    22,767.72/34,150.21 = 8,533.39/x
  3. Step 3: Cross multiply
    22,767.72x = 34,150.21 × 8,533.39
  4. Step 4: Simplify right side
    22,767.72x = 291,416,847.09
  5. Step 5: Solve for x
    x = 291,416,847.09/22,767.72
  6. Step 6: Final answer
    x = 12,799.56

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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.