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Finding the Fourth Proportional to 20,097.48, 27,736.20 and 11,145.84

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Solution

The fourth proportional to 20,097.48, 27,736.20 and 11,145.84 is: 15,382.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,097.48 : 27,736.20 = 11,145.84 : x
  2. Step 2: Convert to fraction form
    20,097.48/27,736.20 = 11,145.84/x
  3. Step 3: Cross multiply
    20,097.48x = 27,736.20 × 11,145.84
  4. Step 4: Simplify right side
    20,097.48x = 309,143,247.41
  5. Step 5: Solve for x
    x = 309,143,247.41/20,097.48
  6. Step 6: Final answer
    x = 15,382.19

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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.