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Finding the Fourth Proportional to 20,942.38, 28,900.48 and 11,511.14

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Solution

The fourth proportional to 20,942.38, 28,900.48 and 11,511.14 is: 15,885.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,942.38 : 28,900.48 = 11,511.14 : x
  2. Step 2: Convert to fraction form
    20,942.38/28,900.48 = 11,511.14/x
  3. Step 3: Cross multiply
    20,942.38x = 28,900.48 × 11,511.14
  4. Step 4: Simplify right side
    20,942.38x = 332,677,471.35
  5. Step 5: Solve for x
    x = 332,677,471.35/20,942.38
  6. Step 6: Final answer
    x = 15,885.37

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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.