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Finding the Fourth Proportional to 12,202.44, 16,837.38 and 7,166.27

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Solution

The fourth proportional to 12,202.44, 16,837.38 and 7,166.27 is: 9,888.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,202.44 : 16,837.38 = 7,166.27 : x
  2. Step 2: Convert to fraction form
    12,202.44/16,837.38 = 7,166.27/x
  3. Step 3: Cross multiply
    12,202.44x = 16,837.38 × 7,166.27
  4. Step 4: Simplify right side
    12,202.44x = 120,661,126.99
  5. Step 5: Solve for x
    x = 120,661,126.99/12,202.44
  6. Step 6: Final answer
    x = 9,888.28

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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.