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Finding the Fourth Proportional to 22,379.64, 33,569.44 and 5,739.82

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Solution

The fourth proportional to 22,379.64, 33,569.44 and 5,739.82 is: 8,609.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,379.64 : 33,569.44 = 5,739.82 : x
  2. Step 2: Convert to fraction form
    22,379.64/33,569.44 = 5,739.82/x
  3. Step 3: Cross multiply
    22,379.64x = 33,569.44 × 5,739.82
  4. Step 4: Simplify right side
    22,379.64x = 192,682,543.10
  5. Step 5: Solve for x
    x = 192,682,543.10/22,379.64
  6. Step 6: Final answer
    x = 8,609.72

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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.