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Finding the Fourth Proportional to 18,343.46, 27,508.21 and 7,806.83

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Solution

The fourth proportional to 18,343.46, 27,508.21 and 7,806.83 is: 11,707.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,343.46 : 27,508.21 = 7,806.83 : x
  2. Step 2: Convert to fraction form
    18,343.46/27,508.21 = 7,806.83/x
  3. Step 3: Cross multiply
    18,343.46x = 27,508.21 × 7,806.83
  4. Step 4: Simplify right side
    18,343.46x = 214,751,916.75
  5. Step 5: Solve for x
    x = 214,751,916.75/18,343.46
  6. Step 6: Final answer
    x = 11,707.27

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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.