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Finding the Fourth Proportional to 19,409.68, 26,785.38 and 11,027.80

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Solution

The fourth proportional to 19,409.68, 26,785.38 and 11,027.80 is: 15,218.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,409.68 : 26,785.38 = 11,027.80 : x
  2. Step 2: Convert to fraction form
    19,409.68/26,785.38 = 11,027.80/x
  3. Step 3: Cross multiply
    19,409.68x = 26,785.38 × 11,027.80
  4. Step 4: Simplify right side
    19,409.68x = 295,383,813.56
  5. Step 5: Solve for x
    x = 295,383,813.56/19,409.68
  6. Step 6: Final answer
    x = 15,218.38

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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.