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Finding the Fourth Proportional to 22,027.80, 30,398.68 and 11,956.38

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Solution

The fourth proportional to 22,027.80, 30,398.68 and 11,956.38 is: 16,499.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,027.80 : 30,398.68 = 11,956.38 : x
  2. Step 2: Convert to fraction form
    22,027.80/30,398.68 = 11,956.38/x
  3. Step 3: Cross multiply
    22,027.80x = 30,398.68 × 11,956.38
  4. Step 4: Simplify right side
    22,027.80x = 363,458,169.58
  5. Step 5: Solve for x
    x = 363,458,169.58/22,027.80
  6. Step 6: Final answer
    x = 16,499.98

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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.