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Finding the Fourth Proportional to 8,022.44, 12,032.22 and 2,178.28

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Solution

The fourth proportional to 8,022.44, 12,032.22 and 2,178.28 is: 3,267.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,022.44 : 12,032.22 = 2,178.28 : x
  2. Step 2: Convert to fraction form
    8,022.44/12,032.22 = 2,178.28/x
  3. Step 3: Cross multiply
    8,022.44x = 12,032.22 × 2,178.28
  4. Step 4: Simplify right side
    8,022.44x = 26,209,544.18
  5. Step 5: Solve for x
    x = 26,209,544.18/8,022.44
  6. Step 6: Final answer
    x = 3,267.03

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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.