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Finding the Fourth Proportional to 20,234.95, 27,920.94 and 11,282.22

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Solution

The fourth proportional to 20,234.95, 27,920.94 and 11,282.22 is: 15,567.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,234.95 : 27,920.94 = 11,282.22 : x
  2. Step 2: Convert to fraction form
    20,234.95/27,920.94 = 11,282.22/x
  3. Step 3: Cross multiply
    20,234.95x = 27,920.94 × 11,282.22
  4. Step 4: Simplify right side
    20,234.95x = 315,010,145.38
  5. Step 5: Solve for x
    x = 315,010,145.38/20,234.95
  6. Step 6: Final answer
    x = 15,567.63

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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.