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Finding the Fourth Proportional to 12,392.12, 17,109.82 and 8,092.54

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Solution

The fourth proportional to 12,392.12, 17,109.82 and 8,092.54 is: 11,173.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,392.12 : 17,109.82 = 8,092.54 : x
  2. Step 2: Convert to fraction form
    12,392.12/17,109.82 = 8,092.54/x
  3. Step 3: Cross multiply
    12,392.12x = 17,109.82 × 8,092.54
  4. Step 4: Simplify right side
    12,392.12x = 138,461,902.74
  5. Step 5: Solve for x
    x = 138,461,902.74/12,392.12
  6. Step 6: Final answer
    x = 11,173.38

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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.