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Finding the Fourth Proportional to 26,568, 39,869.28 and 10,152

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Solution

The fourth proportional to 26,568, 39,869.28 and 10,152 is: 15,234.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,568 : 39,869.28 = 10,152 : x
  2. Step 2: Convert to fraction form
    26,568/39,869.28 = 10,152/x
  3. Step 3: Cross multiply
    26,568x = 39,869.28 × 10,152
  4. Step 4: Simplify right side
    26,568x = 404,752,930.56
  5. Step 5: Solve for x
    x = 404,752,930.56/26,568
  6. Step 6: Final answer
    x = 15,234.60

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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.