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Finding the Fourth Proportional to 18,031.49, 27,034.27 and 8,165.69

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Solution

The fourth proportional to 18,031.49, 27,034.27 and 8,165.69 is: 12,242.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,031.49 : 27,034.27 = 8,165.69 : x
  2. Step 2: Convert to fraction form
    18,031.49/27,034.27 = 8,165.69/x
  3. Step 3: Cross multiply
    18,031.49x = 27,034.27 × 8,165.69
  4. Step 4: Simplify right side
    18,031.49x = 220,753,468.20
  5. Step 5: Solve for x
    x = 220,753,468.20/18,031.49
  6. Step 6: Final answer
    x = 12,242.66

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