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Finding the Fourth Proportional to 12,012.96, 16,576.20 and 7,297.16

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Solution

The fourth proportional to 12,012.96, 16,576.20 and 7,297.16 is: 10,069.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,012.96 : 16,576.20 = 7,297.16 : x
  2. Step 2: Convert to fraction form
    12,012.96/16,576.20 = 7,297.16/x
  3. Step 3: Cross multiply
    12,012.96x = 16,576.20 × 7,297.16
  4. Step 4: Simplify right side
    12,012.96x = 120,959,183.59
  5. Step 5: Solve for x
    x = 120,959,183.59/12,012.96
  6. Step 6: Final answer
    x = 10,069.06

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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.