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Finding the Fourth Proportional to 20,164.66, 27,823.14 and 11,779.54

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Solution

The fourth proportional to 20,164.66, 27,823.14 and 11,779.54 is: 16,253.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,164.66 : 27,823.14 = 11,779.54 : x
  2. Step 2: Convert to fraction form
    20,164.66/27,823.14 = 11,779.54/x
  3. Step 3: Cross multiply
    20,164.66x = 27,823.14 × 11,779.54
  4. Step 4: Simplify right side
    20,164.66x = 327,743,790.56
  5. Step 5: Solve for x
    x = 327,743,790.56/20,164.66
  6. Step 6: Final answer
    x = 16,253.38

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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.