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Finding the Fourth Proportional to 23,255.97, 32,093.66 and 12,645.69

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Solution

The fourth proportional to 23,255.97, 32,093.66 and 12,645.69 is: 17,451.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,255.97 : 32,093.66 = 12,645.69 : x
  2. Step 2: Convert to fraction form
    23,255.97/32,093.66 = 12,645.69/x
  3. Step 3: Cross multiply
    23,255.97x = 32,093.66 × 12,645.69
  4. Step 4: Simplify right side
    23,255.97x = 405,846,412.10
  5. Step 5: Solve for x
    x = 405,846,412.10/23,255.97
  6. Step 6: Final answer
    x = 17,451.28

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