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Finding the Fourth Proportional to 12,846.72, 19,269.24 and 4,082.16

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Solution

The fourth proportional to 12,846.72, 19,269.24 and 4,082.16 is: 6,122.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,846.72 : 19,269.24 = 4,082.16 : x
  2. Step 2: Convert to fraction form
    12,846.72/19,269.24 = 4,082.16/x
  3. Step 3: Cross multiply
    12,846.72x = 19,269.24 × 4,082.16
  4. Step 4: Simplify right side
    12,846.72x = 78,660,120.76
  5. Step 5: Solve for x
    x = 78,660,120.76/12,846.72
  6. Step 6: Final answer
    x = 6,122.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.