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Finding the Fourth Proportional to 24,793.26, 37,189.71 and 9,991.71

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Solution

The fourth proportional to 24,793.26, 37,189.71 and 9,991.71 is: 14,987.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,793.26 : 37,189.71 = 9,991.71 : x
  2. Step 2: Convert to fraction form
    24,793.26/37,189.71 = 9,991.71/x
  3. Step 3: Cross multiply
    24,793.26x = 37,189.71 × 9,991.71
  4. Step 4: Simplify right side
    24,793.26x = 371,588,797.30
  5. Step 5: Solve for x
    x = 371,588,797.30/24,793.26
  6. Step 6: Final answer
    x = 14,987.49

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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.