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Finding the Fourth Proportional to 19,922.88, 27,493.78 and 10,971.22

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Solution

The fourth proportional to 19,922.88, 27,493.78 and 10,971.22 is: 15,140.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,922.88 : 27,493.78 = 10,971.22 : x
  2. Step 2: Convert to fraction form
    19,922.88/27,493.78 = 10,971.22/x
  3. Step 3: Cross multiply
    19,922.88x = 27,493.78 × 10,971.22
  4. Step 4: Simplify right side
    19,922.88x = 301,640,116.69
  5. Step 5: Solve for x
    x = 301,640,116.69/19,922.88
  6. Step 6: Final answer
    x = 15,140.39

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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.