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Finding the Fourth Proportional to 16,234.88, 24,355.68 and 5,846.72

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Solution

The fourth proportional to 16,234.88, 24,355.68 and 5,846.72 is: 8,771.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,234.88 : 24,355.68 = 5,846.72 : x
  2. Step 2: Convert to fraction form
    16,234.88/24,355.68 = 5,846.72/x
  3. Step 3: Cross multiply
    16,234.88x = 24,355.68 × 5,846.72
  4. Step 4: Simplify right side
    16,234.88x = 142,400,841.37
  5. Step 5: Solve for x
    x = 142,400,841.37/16,234.88
  6. Step 6: Final answer
    x = 8,771.29

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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.