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Finding the Fourth Proportional to 20,836, 28,753.68 and 11,404.56

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Solution

The fourth proportional to 20,836, 28,753.68 and 11,404.56 is: 15,738.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,836 : 28,753.68 = 11,404.56 : x
  2. Step 2: Convert to fraction form
    20,836/28,753.68 = 11,404.56/x
  3. Step 3: Cross multiply
    20,836x = 28,753.68 × 11,404.56
  4. Step 4: Simplify right side
    20,836x = 327,923,068.78
  5. Step 5: Solve for x
    x = 327,923,068.78/20,836
  6. Step 6: Final answer
    x = 15,738.29

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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.