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Finding the Fourth Proportional to 24,383.43, 36,571.38 and 7,741.29

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Solution

The fourth proportional to 24,383.43, 36,571.38 and 7,741.29 is: 11,610.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,383.43 : 36,571.38 = 7,741.29 : x
  2. Step 2: Convert to fraction form
    24,383.43/36,571.38 = 7,741.29/x
  3. Step 3: Cross multiply
    24,383.43x = 36,571.38 × 7,741.29
  4. Step 4: Simplify right side
    24,383.43x = 283,109,658.28
  5. Step 5: Solve for x
    x = 283,109,658.28/24,383.43
  6. Step 6: Final answer
    x = 11,610.74

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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.