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Finding the Fourth Proportional to 30,198, 41,673.24 and 17,622.84

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Solution

The fourth proportional to 30,198, 41,673.24 and 17,622.84 is: 24,319.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,198 : 41,673.24 = 17,622.84 : x
  2. Step 2: Convert to fraction form
    30,198/41,673.24 = 17,622.84/x
  3. Step 3: Cross multiply
    30,198x = 41,673.24 × 17,622.84
  4. Step 4: Simplify right side
    30,198x = 734,400,840.80
  5. Step 5: Solve for x
    x = 734,400,840.80/30,198
  6. Step 6: Final answer
    x = 24,319.52

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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.