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Finding the Fourth Proportional to 14,982.74, 20,676.17 and 8,268.37

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Solution

The fourth proportional to 14,982.74, 20,676.17 and 8,268.37 is: 11,410.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,982.74 : 20,676.17 = 8,268.37 : x
  2. Step 2: Convert to fraction form
    14,982.74/20,676.17 = 8,268.37/x
  3. Step 3: Cross multiply
    14,982.74x = 20,676.17 × 8,268.37
  4. Step 4: Simplify right side
    14,982.74x = 170,958,262.52
  5. Step 5: Solve for x
    x = 170,958,262.52/14,982.74
  6. Step 6: Final answer
    x = 11,410.34

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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.