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Finding the Fourth Proportional to 18,494.10, 27,729.60 and 7,814.97

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Solution

The fourth proportional to 18,494.10, 27,729.60 and 7,814.97 is: 11,717.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,494.10 : 27,729.60 = 7,814.97 : x
  2. Step 2: Convert to fraction form
    18,494.10/27,729.60 = 7,814.97/x
  3. Step 3: Cross multiply
    18,494.10x = 27,729.60 × 7,814.97
  4. Step 4: Simplify right side
    18,494.10x = 216,705,992.11
  5. Step 5: Solve for x
    x = 216,705,992.11/18,494.10
  6. Step 6: Final answer
    x = 11,717.57

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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.