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Finding the Fourth Proportional to 28,924.26, 43,387.89 and 8,149.38

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Solution

The fourth proportional to 28,924.26, 43,387.89 and 8,149.38 is: 12,224.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,924.26 : 43,387.89 = 8,149.38 : x
  2. Step 2: Convert to fraction form
    28,924.26/43,387.89 = 8,149.38/x
  3. Step 3: Cross multiply
    28,924.26x = 43,387.89 × 8,149.38
  4. Step 4: Simplify right side
    28,924.26x = 353,584,403.01
  5. Step 5: Solve for x
    x = 353,584,403.01/28,924.26
  6. Step 6: Final answer
    x = 12,224.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.