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Finding the Fourth Proportional to 12,042.96, 16,620.44 and 6,738.27

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Solution

The fourth proportional to 12,042.96, 16,620.44 and 6,738.27 is: 9,299.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,042.96 : 16,620.44 = 6,738.27 : x
  2. Step 2: Convert to fraction form
    12,042.96/16,620.44 = 6,738.27/x
  3. Step 3: Cross multiply
    12,042.96x = 16,620.44 × 6,738.27
  4. Step 4: Simplify right side
    12,042.96x = 111,992,978.55
  5. Step 5: Solve for x
    x = 111,992,978.55/12,042.96
  6. Step 6: Final answer
    x = 9,299.46

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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.