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Finding the Fourth Proportional to 12,319.50, 18,481.68 and 6,300.39

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Solution

The fourth proportional to 12,319.50, 18,481.68 and 6,300.39 is: 9,451.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,319.50 : 18,481.68 = 6,300.39 : x
  2. Step 2: Convert to fraction form
    12,319.50/18,481.68 = 6,300.39/x
  3. Step 3: Cross multiply
    12,319.50x = 18,481.68 × 6,300.39
  4. Step 4: Simplify right side
    12,319.50x = 116,441,791.86
  5. Step 5: Solve for x
    x = 116,441,791.86/12,319.50
  6. Step 6: Final answer
    x = 9,451.83

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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.