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Finding the Fourth Proportional to 22,151.26, 33,239.31 and 11,762.74

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Solution

The fourth proportional to 22,151.26, 33,239.31 and 11,762.74 is: 17,650.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,151.26 : 33,239.31 = 11,762.74 : x
  2. Step 2: Convert to fraction form
    22,151.26/33,239.31 = 11,762.74/x
  3. Step 3: Cross multiply
    22,151.26x = 33,239.31 × 11,762.74
  4. Step 4: Simplify right side
    22,151.26x = 390,985,361.31
  5. Step 5: Solve for x
    x = 390,985,361.31/22,151.26
  6. Step 6: Final answer
    x = 17,650.71

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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.