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Finding the Fourth Proportional to 16,446.85, 24,672.63 and 5,198.38

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Solution

The fourth proportional to 16,446.85, 24,672.63 and 5,198.38 is: 7,798.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,446.85 : 24,672.63 = 5,198.38 : x
  2. Step 2: Convert to fraction form
    16,446.85/24,672.63 = 5,198.38/x
  3. Step 3: Cross multiply
    16,446.85x = 24,672.63 × 5,198.38
  4. Step 4: Simplify right side
    16,446.85x = 128,257,664.15
  5. Step 5: Solve for x
    x = 128,257,664.15/16,446.85
  6. Step 6: Final answer
    x = 7,798.31

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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.