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Finding the Fourth Proportional to 12,049.36, 16,626.12 and 7,082.32

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Solution

The fourth proportional to 12,049.36, 16,626.12 and 7,082.32 is: 9,772.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,049.36 : 16,626.12 = 7,082.32 : x
  2. Step 2: Convert to fraction form
    12,049.36/16,626.12 = 7,082.32/x
  3. Step 3: Cross multiply
    12,049.36x = 16,626.12 × 7,082.32
  4. Step 4: Simplify right side
    12,049.36x = 117,751,502.20
  5. Step 5: Solve for x
    x = 117,751,502.20/12,049.36
  6. Step 6: Final answer
    x = 9,772.43

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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.