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Finding the Fourth Proportional to 20,836.32, 28,753.68 and 11,404.80

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Solution

The fourth proportional to 20,836.32, 28,753.68 and 11,404.80 is: 15,738.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,836.32 : 28,753.68 = 11,404.80 : x
  2. Step 2: Convert to fraction form
    20,836.32/28,753.68 = 11,404.80/x
  3. Step 3: Cross multiply
    20,836.32x = 28,753.68 × 11,404.80
  4. Step 4: Simplify right side
    20,836.32x = 327,929,969.66
  5. Step 5: Solve for x
    x = 327,929,969.66/20,836.32
  6. Step 6: Final answer
    x = 15,738.38

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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.