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Finding the Fourth Proportional to 12,816.35, 17,694.57 and 9,826.44

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Solution

The fourth proportional to 12,816.35, 17,694.57 and 9,826.44 is: 13,566.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,816.35 : 17,694.57 = 9,826.44 : x
  2. Step 2: Convert to fraction form
    12,816.35/17,694.57 = 9,826.44/x
  3. Step 3: Cross multiply
    12,816.35x = 17,694.57 × 9,826.44
  4. Step 4: Simplify right side
    12,816.35x = 173,874,600.93
  5. Step 5: Solve for x
    x = 173,874,600.93/12,816.35
  6. Step 6: Final answer
    x = 13,566.63

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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.