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Finding the Fourth Proportional to 12,914.78, 17,819.49 and 7,610.09

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Solution

The fourth proportional to 12,914.78, 17,819.49 and 7,610.09 is: 10,500.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,914.78 : 17,819.49 = 7,610.09 : x
  2. Step 2: Convert to fraction form
    12,914.78/17,819.49 = 7,610.09/x
  3. Step 3: Cross multiply
    12,914.78x = 17,819.49 × 7,610.09
  4. Step 4: Simplify right side
    12,914.78x = 135,607,922.65
  5. Step 5: Solve for x
    x = 135,607,922.65/12,914.78
  6. Step 6: Final answer
    x = 10,500.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.