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Finding the Fourth Proportional to 20,097.70, 27,735.06 and 11,145.31

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Solution

The fourth proportional to 20,097.70, 27,735.06 and 11,145.31 is: 15,380.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,097.70 : 27,735.06 = 11,145.31 : x
  2. Step 2: Convert to fraction form
    20,097.70/27,735.06 = 11,145.31/x
  3. Step 3: Cross multiply
    20,097.70x = 27,735.06 × 11,145.31
  4. Step 4: Simplify right side
    20,097.70x = 309,115,841.57
  5. Step 5: Solve for x
    x = 309,115,841.57/20,097.70
  6. Step 6: Final answer
    x = 15,380.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.