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Finding the Fourth Proportional to 16,093.50, 24,149.97 and 6,859.50

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Solution

The fourth proportional to 16,093.50, 24,149.97 and 6,859.50 is: 10,293.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,093.50 : 24,149.97 = 6,859.50 : x
  2. Step 2: Convert to fraction form
    16,093.50/24,149.97 = 6,859.50/x
  3. Step 3: Cross multiply
    16,093.50x = 24,149.97 × 6,859.50
  4. Step 4: Simplify right side
    16,093.50x = 165,656,719.22
  5. Step 5: Solve for x
    x = 165,656,719.22/16,093.50
  6. Step 6: Final answer
    x = 10,293.39

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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.