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Finding the Fourth Proportional to 23,198.72, 34,767.06 and 12,082.07

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Solution

The fourth proportional to 23,198.72, 34,767.06 and 12,082.07 is: 18,106.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,198.72 : 34,767.06 = 12,082.07 : x
  2. Step 2: Convert to fraction form
    23,198.72/34,767.06 = 12,082.07/x
  3. Step 3: Cross multiply
    23,198.72x = 34,767.06 × 12,082.07
  4. Step 4: Simplify right side
    23,198.72x = 420,058,052.61
  5. Step 5: Solve for x
    x = 420,058,052.61/23,198.72
  6. Step 6: Final answer
    x = 18,106.95

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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.