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Finding the Fourth Proportional to 21,890, 30,208.24 and 11,954

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Solution

The fourth proportional to 21,890, 30,208.24 and 11,954 is: 16,496.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,890 : 30,208.24 = 11,954 : x
  2. Step 2: Convert to fraction form
    21,890/30,208.24 = 11,954/x
  3. Step 3: Cross multiply
    21,890x = 30,208.24 × 11,954
  4. Step 4: Simplify right side
    21,890x = 361,109,300.96
  5. Step 5: Solve for x
    x = 361,109,300.96/21,890
  6. Step 6: Final answer
    x = 16,496.54

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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.