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Finding the Fourth Proportional to 12,042.66, 16,616.50 and 6,736.45

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Solution

The fourth proportional to 12,042.66, 16,616.50 and 6,736.45 is: 9,294.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,042.66 : 16,616.50 = 6,736.45 : x
  2. Step 2: Convert to fraction form
    12,042.66/16,616.50 = 6,736.45/x
  3. Step 3: Cross multiply
    12,042.66x = 16,616.50 × 6,736.45
  4. Step 4: Simplify right side
    12,042.66x = 111,936,221.43
  5. Step 5: Solve for x
    x = 111,936,221.43/12,042.66
  6. Step 6: Final answer
    x = 9,294.97

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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.