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Finding the Fourth Proportional to 18,206.42, 27,266.51 and 11,612.61

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Solution

The fourth proportional to 18,206.42, 27,266.51 and 11,612.61 is: 17,391.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,206.42 : 27,266.51 = 11,612.61 : x
  2. Step 2: Convert to fraction form
    18,206.42/27,266.51 = 11,612.61/x
  3. Step 3: Cross multiply
    18,206.42x = 27,266.51 × 11,612.61
  4. Step 4: Simplify right side
    18,206.42x = 316,635,375.72
  5. Step 5: Solve for x
    x = 316,635,375.72/18,206.42
  6. Step 6: Final answer
    x = 17,391.42

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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.