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Finding the Fourth Proportional to 8,178.06, 12,267.20 and 2,022.06

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Solution

The fourth proportional to 8,178.06, 12,267.20 and 2,022.06 is: 3,033.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,178.06 : 12,267.20 = 2,022.06 : x
  2. Step 2: Convert to fraction form
    8,178.06/12,267.20 = 2,022.06/x
  3. Step 3: Cross multiply
    8,178.06x = 12,267.20 × 2,022.06
  4. Step 4: Simplify right side
    8,178.06x = 24,805,014.43
  5. Step 5: Solve for x
    x = 24,805,014.43/8,178.06
  6. Step 6: Final answer
    x = 3,033.12

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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.