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Finding the Fourth Proportional to 24,871.10, 37,295.85 and 8,224.70

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Solution

The fourth proportional to 24,871.10, 37,295.85 and 8,224.70 is: 12,333.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,871.10 : 37,295.85 = 8,224.70 : x
  2. Step 2: Convert to fraction form
    24,871.10/37,295.85 = 8,224.70/x
  3. Step 3: Cross multiply
    24,871.10x = 37,295.85 × 8,224.70
  4. Step 4: Simplify right side
    24,871.10x = 306,747,177.50
  5. Step 5: Solve for x
    x = 306,747,177.50/24,871.10
  6. Step 6: Final answer
    x = 12,333.48

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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.