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Finding the Fourth Proportional to 27,405.38, 37,819.78 and 17,323.32

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Solution

The fourth proportional to 27,405.38, 37,819.78 and 17,323.32 is: 23,906.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,405.38 : 37,819.78 = 17,323.32 : x
  2. Step 2: Convert to fraction form
    27,405.38/37,819.78 = 17,323.32/x
  3. Step 3: Cross multiply
    27,405.38x = 37,819.78 × 17,323.32
  4. Step 4: Simplify right side
    27,405.38x = 655,164,151.27
  5. Step 5: Solve for x
    x = 655,164,151.27/27,405.38
  6. Step 6: Final answer
    x = 23,906.41

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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.