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Finding the Fourth Proportional to 12,016.44, 16,569.96 and 8,245.13

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Solution

The fourth proportional to 12,016.44, 16,569.96 and 8,245.13 is: 11,369.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,016.44 : 16,569.96 = 8,245.13 : x
  2. Step 2: Convert to fraction form
    12,016.44/16,569.96 = 8,245.13/x
  3. Step 3: Cross multiply
    12,016.44x = 16,569.96 × 8,245.13
  4. Step 4: Simplify right side
    12,016.44x = 136,621,391.45
  5. Step 5: Solve for x
    x = 136,621,391.45/12,016.44
  6. Step 6: Final answer
    x = 11,369.54

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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.