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Finding the Fourth Proportional to 20,097.87, 27,735.71 and 11,146.20

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Solution

The fourth proportional to 20,097.87, 27,735.71 and 11,146.20 is: 15,382.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,097.87 : 27,735.71 = 11,146.20 : x
  2. Step 2: Convert to fraction form
    20,097.87/27,735.71 = 11,146.20/x
  3. Step 3: Cross multiply
    20,097.87x = 27,735.71 × 11,146.20
  4. Step 4: Simplify right side
    20,097.87x = 309,147,715.07
  5. Step 5: Solve for x
    x = 309,147,715.07/20,097.87
  6. Step 6: Final answer
    x = 15,382.11

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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.