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Finding the Fourth Proportional to 25,769.13, 38,629.09 and 8,227.57

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Solution

The fourth proportional to 25,769.13, 38,629.09 and 8,227.57 is: 12,333.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,769.13 : 38,629.09 = 8,227.57 : x
  2. Step 2: Convert to fraction form
    25,769.13/38,629.09 = 8,227.57/x
  3. Step 3: Cross multiply
    25,769.13x = 38,629.09 × 8,227.57
  4. Step 4: Simplify right side
    25,769.13x = 317,823,455.72
  5. Step 5: Solve for x
    x = 317,823,455.72/25,769.13
  6. Step 6: Final answer
    x = 12,333.50

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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.