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Finding the Fourth Proportional to 18,034.29, 27,051.03 and 8,166.42

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Solution

The fourth proportional to 18,034.29, 27,051.03 and 8,166.42 is: 12,249.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,034.29 : 27,051.03 = 8,166.42 : x
  2. Step 2: Convert to fraction form
    18,034.29/27,051.03 = 8,166.42/x
  3. Step 3: Cross multiply
    18,034.29x = 27,051.03 × 8,166.42
  4. Step 4: Simplify right side
    18,034.29x = 220,910,072.41
  5. Step 5: Solve for x
    x = 220,910,072.41/18,034.29
  6. Step 6: Final answer
    x = 12,249.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.