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Finding the Fourth Proportional to 16,077, 24,125.76 and 6,843

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Solution

The fourth proportional to 16,077, 24,125.76 and 6,843 is: 10,268.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,077 : 24,125.76 = 6,843 : x
  2. Step 2: Convert to fraction form
    16,077/24,125.76 = 6,843/x
  3. Step 3: Cross multiply
    16,077x = 24,125.76 × 6,843
  4. Step 4: Simplify right side
    16,077x = 165,092,575.68
  5. Step 5: Solve for x
    x = 165,092,575.68/16,077
  6. Step 6: Final answer
    x = 10,268.87

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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.