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Finding the Fourth Proportional to 12,016.86, 18,025.02 and 5,438.28

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Solution

The fourth proportional to 12,016.86, 18,025.02 and 5,438.28 is: 8,157.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,016.86 : 18,025.02 = 5,438.28 : x
  2. Step 2: Convert to fraction form
    12,016.86/18,025.02 = 5,438.28/x
  3. Step 3: Cross multiply
    12,016.86x = 18,025.02 × 5,438.28
  4. Step 4: Simplify right side
    12,016.86x = 98,025,105.77
  5. Step 5: Solve for x
    x = 98,025,105.77/12,016.86
  6. Step 6: Final answer
    x = 8,157.30

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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.