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Finding the Fourth Proportional to 24,835.37, 37,249.40 and 8,195.81

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Solution

The fourth proportional to 24,835.37, 37,249.40 and 8,195.81 is: 12,292.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,835.37 : 37,249.40 = 8,195.81 : x
  2. Step 2: Convert to fraction form
    24,835.37/37,249.40 = 8,195.81/x
  3. Step 3: Cross multiply
    24,835.37x = 37,249.40 × 8,195.81
  4. Step 4: Simplify right side
    24,835.37x = 305,288,839.26
  5. Step 5: Solve for x
    x = 305,288,839.26/24,835.37
  6. Step 6: Final answer
    x = 12,292.50

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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.