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Finding the Fourth Proportional to 20,229.88, 27,918.18 and 11,277.44

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Solution

The fourth proportional to 20,229.88, 27,918.18 and 11,277.44 is: 15,563.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,229.88 : 27,918.18 = 11,277.44 : x
  2. Step 2: Convert to fraction form
    20,229.88/27,918.18 = 11,277.44/x
  3. Step 3: Cross multiply
    20,229.88x = 27,918.18 × 11,277.44
  4. Step 4: Simplify right side
    20,229.88x = 314,845,599.86
  5. Step 5: Solve for x
    x = 314,845,599.86/20,229.88
  6. Step 6: Final answer
    x = 15,563.39

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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.