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Finding the Fourth Proportional to 20,883.38, 28,819.42 and 11,451.82

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Solution

The fourth proportional to 20,883.38, 28,819.42 and 11,451.82 is: 15,803.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,883.38 : 28,819.42 = 11,451.82 : x
  2. Step 2: Convert to fraction form
    20,883.38/28,819.42 = 11,451.82/x
  3. Step 3: Cross multiply
    20,883.38x = 28,819.42 × 11,451.82
  4. Step 4: Simplify right side
    20,883.38x = 330,034,810.34
  5. Step 5: Solve for x
    x = 330,034,810.34/20,883.38
  6. Step 6: Final answer
    x = 15,803.71

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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.