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Finding the Fourth Proportional to 12,042.40, 16,617.74 and 6,736.30

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Solution

The fourth proportional to 12,042.40, 16,617.74 and 6,736.30 is: 9,295.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,042.40 : 16,617.74 = 6,736.30 : x
  2. Step 2: Convert to fraction form
    12,042.40/16,617.74 = 6,736.30/x
  3. Step 3: Cross multiply
    12,042.40x = 16,617.74 × 6,736.30
  4. Step 4: Simplify right side
    12,042.40x = 111,942,081.96
  5. Step 5: Solve for x
    x = 111,942,081.96/12,042.40
  6. Step 6: Final answer
    x = 9,295.66

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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.