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Finding the Fourth Proportional to 12,243.29, 18,371.86 and 5,222.64

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Solution

The fourth proportional to 12,243.29, 18,371.86 and 5,222.64 is: 7,836.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,243.29 : 18,371.86 = 5,222.64 : x
  2. Step 2: Convert to fraction form
    12,243.29/18,371.86 = 5,222.64/x
  3. Step 3: Cross multiply
    12,243.29x = 18,371.86 × 5,222.64
  4. Step 4: Simplify right side
    12,243.29x = 95,949,610.91
  5. Step 5: Solve for x
    x = 95,949,610.91/12,243.29
  6. Step 6: Final answer
    x = 7,836.91

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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.