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Finding the Fourth Proportional to 14,806.26, 20,433.12 and 8,092.26

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Solution

The fourth proportional to 14,806.26, 20,433.12 and 8,092.26 is: 11,167.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,806.26 : 20,433.12 = 8,092.26 : x
  2. Step 2: Convert to fraction form
    14,806.26/20,433.12 = 8,092.26/x
  3. Step 3: Cross multiply
    14,806.26x = 20,433.12 × 8,092.26
  4. Step 4: Simplify right side
    14,806.26x = 165,350,119.65
  5. Step 5: Solve for x
    x = 165,350,119.65/14,806.26
  6. Step 6: Final answer
    x = 11,167.58

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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.