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Finding the Fourth Proportional to 24,837, 37,256.78 and 8,198.32

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Solution

The fourth proportional to 24,837, 37,256.78 and 8,198.32 is: 12,297.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,837 : 37,256.78 = 8,198.32 : x
  2. Step 2: Convert to fraction form
    24,837/37,256.78 = 8,198.32/x
  3. Step 3: Cross multiply
    24,837x = 37,256.78 × 8,198.32
  4. Step 4: Simplify right side
    24,837x = 305,443,004.61
  5. Step 5: Solve for x
    x = 305,443,004.61/24,837
  6. Step 6: Final answer
    x = 12,297.90

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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.