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Finding the Fourth Proportional to 29,877.75, 41,234.04 and 16,451.73

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Solution

The fourth proportional to 29,877.75, 41,234.04 and 16,451.73 is: 22,704.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,877.75 : 41,234.04 = 16,451.73 : x
  2. Step 2: Convert to fraction form
    29,877.75/41,234.04 = 16,451.73/x
  3. Step 3: Cross multiply
    29,877.75x = 41,234.04 × 16,451.73
  4. Step 4: Simplify right side
    29,877.75x = 678,371,292.89
  5. Step 5: Solve for x
    x = 678,371,292.89/29,877.75
  6. Step 6: Final answer
    x = 22,704.90

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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.