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Finding the Fourth Proportional to 12,198.78, 16,834.23 and 6,894.63

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Solution

The fourth proportional to 12,198.78, 16,834.23 and 6,894.63 is: 9,514.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,198.78 : 16,834.23 = 6,894.63 : x
  2. Step 2: Convert to fraction form
    12,198.78/16,834.23 = 6,894.63/x
  3. Step 3: Cross multiply
    12,198.78x = 16,834.23 × 6,894.63
  4. Step 4: Simplify right side
    12,198.78x = 116,065,787.18
  5. Step 5: Solve for x
    x = 116,065,787.18/12,198.78
  6. Step 6: Final answer
    x = 9,514.54

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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.