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Finding the Fourth Proportional to 29,998.38, 41,400.24 and 17,255.70

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Solution

The fourth proportional to 29,998.38, 41,400.24 and 17,255.70 is: 23,814.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,998.38 : 41,400.24 = 17,255.70 : x
  2. Step 2: Convert to fraction form
    29,998.38/41,400.24 = 17,255.70/x
  3. Step 3: Cross multiply
    29,998.38x = 41,400.24 × 17,255.70
  4. Step 4: Simplify right side
    29,998.38x = 714,390,121.37
  5. Step 5: Solve for x
    x = 714,390,121.37/29,998.38
  6. Step 6: Final answer
    x = 23,814.29

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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.