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Finding the Fourth Proportional to 24,939.29, 37,380.69 and 8,295.41

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Solution

The fourth proportional to 24,939.29, 37,380.69 and 8,295.41 is: 12,433.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,939.29 : 37,380.69 = 8,295.41 : x
  2. Step 2: Convert to fraction form
    24,939.29/37,380.69 = 8,295.41/x
  3. Step 3: Cross multiply
    24,939.29x = 37,380.69 × 8,295.41
  4. Step 4: Simplify right side
    24,939.29x = 310,088,243.08
  5. Step 5: Solve for x
    x = 310,088,243.08/24,939.29
  6. Step 6: Final answer
    x = 12,433.72

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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.