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Finding the Fourth Proportional to 13,794.67, 19,033.32 and 8,129.65

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Solution

The fourth proportional to 13,794.67, 19,033.32 and 8,129.65 is: 11,216.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,794.67 : 19,033.32 = 8,129.65 : x
  2. Step 2: Convert to fraction form
    13,794.67/19,033.32 = 8,129.65/x
  3. Step 3: Cross multiply
    13,794.67x = 19,033.32 × 8,129.65
  4. Step 4: Simplify right side
    13,794.67x = 154,734,229.94
  5. Step 5: Solve for x
    x = 154,734,229.94/13,794.67
  6. Step 6: Final answer
    x = 11,216.96

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1.5x scale

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.