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Finding the Fourth Proportional to 15,105.77, 20,845.38 and 8,391.83

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Solution

The fourth proportional to 15,105.77, 20,845.38 and 8,391.83 is: 11,580.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,105.77 : 20,845.38 = 8,391.83 : x
  2. Step 2: Convert to fraction form
    15,105.77/20,845.38 = 8,391.83/x
  3. Step 3: Cross multiply
    15,105.77x = 20,845.38 × 8,391.83
  4. Step 4: Simplify right side
    15,105.77x = 174,930,781.02
  5. Step 5: Solve for x
    x = 174,930,781.02/15,105.77
  6. Step 6: Final answer
    x = 11,580.39

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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.