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Finding the Fourth Proportional to 13,676.27, 18,873 and 7,707.83

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Solution

The fourth proportional to 13,676.27, 18,873 and 7,707.83 is: 10,636.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,676.27 : 18,873 = 7,707.83 : x
  2. Step 2: Convert to fraction form
    13,676.27/18,873 = 7,707.83/x
  3. Step 3: Cross multiply
    13,676.27x = 18,873 × 7,707.83
  4. Step 4: Simplify right side
    13,676.27x = 145,469,781.23
  5. Step 5: Solve for x
    x = 145,469,781.23/13,676.27
  6. Step 6: Final answer
    x = 10,636.66

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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.