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Finding the Fourth Proportional to 16,819, 23,210.94 and 9,367

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Solution

The fourth proportional to 16,819, 23,210.94 and 9,367 is: 12,926.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,819 : 23,210.94 = 9,367 : x
  2. Step 2: Convert to fraction form
    16,819/23,210.94 = 9,367/x
  3. Step 3: Cross multiply
    16,819x = 23,210.94 × 9,367
  4. Step 4: Simplify right side
    16,819x = 217,416,874.98
  5. Step 5: Solve for x
    x = 217,416,874.98/16,819
  6. Step 6: Final answer
    x = 12,926.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.