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Finding the Fourth Proportional to 20,819.86, 28,732.08 and 11,388.41

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Solution

The fourth proportional to 20,819.86, 28,732.08 and 11,388.41 is: 15,716.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,819.86 : 28,732.08 = 11,388.41 : x
  2. Step 2: Convert to fraction form
    20,819.86/28,732.08 = 11,388.41/x
  3. Step 3: Cross multiply
    20,819.86x = 28,732.08 × 11,388.41
  4. Step 4: Simplify right side
    20,819.86x = 327,212,707.19
  5. Step 5: Solve for x
    x = 327,212,707.19/20,819.86
  6. Step 6: Final answer
    x = 15,716.38

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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.