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Finding the Fourth Proportional to 16,058.46, 24,082.56 and 8,158.26

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Solution

The fourth proportional to 16,058.46, 24,082.56 and 8,158.26 is: 12,234.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,058.46 : 24,082.56 = 8,158.26 : x
  2. Step 2: Convert to fraction form
    16,058.46/24,082.56 = 8,158.26/x
  3. Step 3: Cross multiply
    16,058.46x = 24,082.56 × 8,158.26
  4. Step 4: Simplify right side
    16,058.46x = 196,471,785.95
  5. Step 5: Solve for x
    x = 196,471,785.95/16,058.46
  6. Step 6: Final answer
    x = 12,234.78

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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.