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Finding the Fourth Proportional to 25,100, 34,638 and 13,922

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Solution

The fourth proportional to 25,100, 34,638 and 13,922 is: 19,212.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,100 : 34,638 = 13,922 : x
  2. Step 2: Convert to fraction form
    25,100/34,638 = 13,922/x
  3. Step 3: Cross multiply
    25,100x = 34,638 × 13,922
  4. Step 4: Simplify right side
    25,100x = 482,230,236
  5. Step 5: Solve for x
    x = 482,230,236/25,100
  6. Step 6: Final answer
    x = 19,212.36

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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.