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Finding the Fourth Proportional to 21,930.26, 32,880.92 and 7,883.24

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Solution

The fourth proportional to 21,930.26, 32,880.92 and 7,883.24 is: 11,819.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,930.26 : 32,880.92 = 7,883.24 : x
  2. Step 2: Convert to fraction form
    21,930.26/32,880.92 = 7,883.24/x
  3. Step 3: Cross multiply
    21,930.26x = 32,880.92 × 7,883.24
  4. Step 4: Simplify right side
    21,930.26x = 259,208,183.78
  5. Step 5: Solve for x
    x = 259,208,183.78/21,930.26
  6. Step 6: Final answer
    x = 11,819.66

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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.