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Finding the Fourth Proportional to 24,846, 37,261.05 and 8,202.30

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Solution

The fourth proportional to 24,846, 37,261.05 and 8,202.30 is: 12,300.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,846 : 37,261.05 = 8,202.30 : x
  2. Step 2: Convert to fraction form
    24,846/37,261.05 = 8,202.30/x
  3. Step 3: Cross multiply
    24,846x = 37,261.05 × 8,202.30
  4. Step 4: Simplify right side
    24,846x = 305,626,310.42
  5. Step 5: Solve for x
    x = 305,626,310.42/24,846
  6. Step 6: Final answer
    x = 12,300.83

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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.