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Finding the Fourth Proportional to 20,165.67, 27,828.09 and 11,213.55

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Solution

The fourth proportional to 20,165.67, 27,828.09 and 11,213.55 is: 15,474.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,165.67 : 27,828.09 = 11,213.55 : x
  2. Step 2: Convert to fraction form
    20,165.67/27,828.09 = 11,213.55/x
  3. Step 3: Cross multiply
    20,165.67x = 27,828.09 × 11,213.55
  4. Step 4: Simplify right side
    20,165.67x = 312,051,678.62
  5. Step 5: Solve for x
    x = 312,051,678.62/20,165.67
  6. Step 6: Final answer
    x = 15,474.40

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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.