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Finding the Fourth Proportional to 20,930.24, 28,882.74 and 11,498.24

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Solution

The fourth proportional to 20,930.24, 28,882.74 and 11,498.24 is: 15,867.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,930.24 : 28,882.74 = 11,498.24 : x
  2. Step 2: Convert to fraction form
    20,930.24/28,882.74 = 11,498.24/x
  3. Step 3: Cross multiply
    20,930.24x = 28,882.74 × 11,498.24
  4. Step 4: Simplify right side
    20,930.24x = 332,100,676.38
  5. Step 5: Solve for x
    x = 332,100,676.38/20,930.24
  6. Step 6: Final answer
    x = 15,867.03

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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.