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Finding the Fourth Proportional to 11,380.80, 17,042.40 and 8,443.20

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Solution

The fourth proportional to 11,380.80, 17,042.40 and 8,443.20 is: 12,643.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,380.80 : 17,042.40 = 8,443.20 : x
  2. Step 2: Convert to fraction form
    11,380.80/17,042.40 = 8,443.20/x
  3. Step 3: Cross multiply
    11,380.80x = 17,042.40 × 8,443.20
  4. Step 4: Simplify right side
    11,380.80x = 143,892,391.68
  5. Step 5: Solve for x
    x = 143,892,391.68/11,380.80
  6. Step 6: Final answer
    x = 12,643.43

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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.