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Finding the Fourth Proportional to 12,605.50, 18,911.38 and 5,212.09

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Solution

The fourth proportional to 12,605.50, 18,911.38 and 5,212.09 is: 7,819.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,605.50 : 18,911.38 = 5,212.09 : x
  2. Step 2: Convert to fraction form
    12,605.50/18,911.38 = 5,212.09/x
  3. Step 3: Cross multiply
    12,605.50x = 18,911.38 × 5,212.09
  4. Step 4: Simplify right side
    12,605.50x = 98,567,814.58
  5. Step 5: Solve for x
    x = 98,567,814.58/12,605.50
  6. Step 6: Final answer
    x = 7,819.43

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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.