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Finding the Fourth Proportional to 13,618.40, 18,794.86 and 8,243.79

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Solution

The fourth proportional to 13,618.40, 18,794.86 and 8,243.79 is: 11,377.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,618.40 : 18,794.86 = 8,243.79 : x
  2. Step 2: Convert to fraction form
    13,618.40/18,794.86 = 8,243.79/x
  3. Step 3: Cross multiply
    13,618.40x = 18,794.86 × 8,243.79
  4. Step 4: Simplify right side
    13,618.40x = 154,940,878.92
  5. Step 5: Solve for x
    x = 154,940,878.92/13,618.40
  6. Step 6: Final answer
    x = 11,377.32

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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.