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Finding the Fourth Proportional to 20,356.77, 28,092.86 and 11,404.20

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Solution

The fourth proportional to 20,356.77, 28,092.86 and 11,404.20 is: 15,738.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,356.77 : 28,092.86 = 11,404.20 : x
  2. Step 2: Convert to fraction form
    20,356.77/28,092.86 = 11,404.20/x
  3. Step 3: Cross multiply
    20,356.77x = 28,092.86 × 11,404.20
  4. Step 4: Simplify right side
    20,356.77x = 320,376,594.01
  5. Step 5: Solve for x
    x = 320,376,594.01/20,356.77
  6. Step 6: Final answer
    x = 15,738.09

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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.