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Finding the Fourth Proportional to 18,092.82, 27,146.98 and 7,565.30

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Solution

The fourth proportional to 18,092.82, 27,146.98 and 7,565.30 is: 11,351.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,092.82 : 27,146.98 = 7,565.30 : x
  2. Step 2: Convert to fraction form
    18,092.82/27,146.98 = 7,565.30/x
  3. Step 3: Cross multiply
    18,092.82x = 27,146.98 × 7,565.30
  4. Step 4: Simplify right side
    18,092.82x = 205,375,176.02
  5. Step 5: Solve for x
    x = 205,375,176.02/18,092.82
  6. Step 6: Final answer
    x = 11,351.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.