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Finding the Fourth Proportional to 18,049.98, 24,910.02 and 10,092

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Solution

The fourth proportional to 18,049.98, 24,910.02 and 10,092 is: 13,927.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,049.98 : 24,910.02 = 10,092 : x
  2. Step 2: Convert to fraction form
    18,049.98/24,910.02 = 10,092/x
  3. Step 3: Cross multiply
    18,049.98x = 24,910.02 × 10,092
  4. Step 4: Simplify right side
    18,049.98x = 251,391,921.84
  5. Step 5: Solve for x
    x = 251,391,921.84/18,049.98
  6. Step 6: Final answer
    x = 13,927.55

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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.