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Finding the Fourth Proportional to 20,097.32, 27,733.79 and 11,144.79

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Solution

The fourth proportional to 20,097.32, 27,733.79 and 11,144.79 is: 15,379.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,097.32 : 27,733.79 = 11,144.79 : x
  2. Step 2: Convert to fraction form
    20,097.32/27,733.79 = 11,144.79/x
  3. Step 3: Cross multiply
    20,097.32x = 27,733.79 × 11,144.79
  4. Step 4: Simplify right side
    20,097.32x = 309,087,209.73
  5. Step 5: Solve for x
    x = 309,087,209.73/20,097.32
  6. Step 6: Final answer
    x = 15,379.53

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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.