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Finding the Fourth Proportional to 20,055.52, 27,676.56 and 11,672

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Solution

The fourth proportional to 20,055.52, 27,676.56 and 11,672 is: 16,107.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,055.52 : 27,676.56 = 11,672 : x
  2. Step 2: Convert to fraction form
    20,055.52/27,676.56 = 11,672/x
  3. Step 3: Cross multiply
    20,055.52x = 27,676.56 × 11,672
  4. Step 4: Simplify right side
    20,055.52x = 323,040,808.32
  5. Step 5: Solve for x
    x = 323,040,808.32/20,055.52
  6. Step 6: Final answer
    x = 16,107.33

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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.