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Finding the Fourth Proportional to 16,435.72, 24,642.06 and 8,105.56

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Solution

The fourth proportional to 16,435.72, 24,642.06 and 8,105.56 is: 12,152.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,435.72 : 24,642.06 = 8,105.56 : x
  2. Step 2: Convert to fraction form
    16,435.72/24,642.06 = 8,105.56/x
  3. Step 3: Cross multiply
    16,435.72x = 24,642.06 × 8,105.56
  4. Step 4: Simplify right side
    16,435.72x = 199,737,695.85
  5. Step 5: Solve for x
    x = 199,737,695.85/16,435.72
  6. Step 6: Final answer
    x = 12,152.66

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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.