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Finding the Fourth Proportional to 16,818, 25,234.16 and 6,964.44

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Solution

The fourth proportional to 16,818, 25,234.16 and 6,964.44 is: 10,449.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,818 : 25,234.16 = 6,964.44 : x
  2. Step 2: Convert to fraction form
    16,818/25,234.16 = 6,964.44/x
  3. Step 3: Cross multiply
    16,818x = 25,234.16 × 6,964.44
  4. Step 4: Simplify right side
    16,818x = 175,741,793.27
  5. Step 5: Solve for x
    x = 175,741,793.27/16,818
  6. Step 6: Final answer
    x = 10,449.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.