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Finding the Fourth Proportional to 12,042.98, 17,984.44 and 11,912.66

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Solution

The fourth proportional to 12,042.98, 17,984.44 and 11,912.66 is: 17,789.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,042.98 : 17,984.44 = 11,912.66 : x
  2. Step 2: Convert to fraction form
    12,042.98/17,984.44 = 11,912.66/x
  3. Step 3: Cross multiply
    12,042.98x = 17,984.44 × 11,912.66
  4. Step 4: Simplify right side
    12,042.98x = 214,242,519.01
  5. Step 5: Solve for x
    x = 214,242,519.01/12,042.98
  6. Step 6: Final answer
    x = 17,789.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.