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Finding the Fourth Proportional to 23,759.77, 32,788.92 and 13,150.39

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Solution

The fourth proportional to 23,759.77, 32,788.92 and 13,150.39 is: 18,147.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,759.77 : 32,788.92 = 13,150.39 : x
  2. Step 2: Convert to fraction form
    23,759.77/32,788.92 = 13,150.39/x
  3. Step 3: Cross multiply
    23,759.77x = 32,788.92 × 13,150.39
  4. Step 4: Simplify right side
    23,759.77x = 431,187,085.68
  5. Step 5: Solve for x
    x = 431,187,085.68/23,759.77
  6. Step 6: Final answer
    x = 18,147.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.