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Finding the Fourth Proportional to 20,176.78, 27,843.83 and 11,102.69

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Solution

The fourth proportional to 20,176.78, 27,843.83 and 11,102.69 is: 15,321.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,176.78 : 27,843.83 = 11,102.69 : x
  2. Step 2: Convert to fraction form
    20,176.78/27,843.83 = 11,102.69/x
  3. Step 3: Cross multiply
    20,176.78x = 27,843.83 × 11,102.69
  4. Step 4: Simplify right side
    20,176.78x = 309,141,427.00
  5. Step 5: Solve for x
    x = 309,141,427.00/20,176.78
  6. Step 6: Final answer
    x = 15,321.65

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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.