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Finding the Fourth Proportional to 22,105.69, 33,157.48 and 5,465.66

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Solution

The fourth proportional to 22,105.69, 33,157.48 and 5,465.66 is: 8,198.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,105.69 : 33,157.48 = 5,465.66 : x
  2. Step 2: Convert to fraction form
    22,105.69/33,157.48 = 5,465.66/x
  3. Step 3: Cross multiply
    22,105.69x = 33,157.48 × 5,465.66
  4. Step 4: Simplify right side
    22,105.69x = 181,227,484.81
  5. Step 5: Solve for x
    x = 181,227,484.81/22,105.69
  6. Step 6: Final answer
    x = 8,198.23

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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.