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Finding the Fourth Proportional to 20,086.87, 27,719.88 and 11,134.35

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Solution

The fourth proportional to 20,086.87, 27,719.88 and 11,134.35 is: 15,365.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,086.87 : 27,719.88 = 11,134.35 : x
  2. Step 2: Convert to fraction form
    20,086.87/27,719.88 = 11,134.35/x
  3. Step 3: Cross multiply
    20,086.87x = 27,719.88 × 11,134.35
  4. Step 4: Simplify right side
    20,086.87x = 308,642,651.61
  5. Step 5: Solve for x
    x = 308,642,651.61/20,086.87
  6. Step 6: Final answer
    x = 15,365.39

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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.