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Finding the Fourth Proportional to 12,980.20, 17,905.23 and 8,198.43

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Solution

The fourth proportional to 12,980.20, 17,905.23 and 8,198.43 is: 11,309.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,980.20 : 17,905.23 = 8,198.43 : x
  2. Step 2: Convert to fraction form
    12,980.20/17,905.23 = 8,198.43/x
  3. Step 3: Cross multiply
    12,980.20x = 17,905.23 × 8,198.43
  4. Step 4: Simplify right side
    12,980.20x = 146,794,774.79
  5. Step 5: Solve for x
    x = 146,794,774.79/12,980.20
  6. Step 6: Final answer
    x = 11,309.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.