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Finding the Fourth Proportional to 18,709.50, 25,819.14 and 10,326

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Solution

The fourth proportional to 18,709.50, 25,819.14 and 10,326 is: 14,249.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,709.50 : 25,819.14 = 10,326 : x
  2. Step 2: Convert to fraction form
    18,709.50/25,819.14 = 10,326/x
  3. Step 3: Cross multiply
    18,709.50x = 25,819.14 × 10,326
  4. Step 4: Simplify right side
    18,709.50x = 266,608,439.64
  5. Step 5: Solve for x
    x = 266,608,439.64/18,709.50
  6. Step 6: Final answer
    x = 14,249.90

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Why These Related Problems?

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