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Finding the Fourth Proportional to 23,825.72, 35,741.82 and 8,244.56

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Solution

The fourth proportional to 23,825.72, 35,741.82 and 8,244.56 is: 12,367.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,825.72 : 35,741.82 = 8,244.56 : x
  2. Step 2: Convert to fraction form
    23,825.72/35,741.82 = 8,244.56/x
  3. Step 3: Cross multiply
    23,825.72x = 35,741.82 × 8,244.56
  4. Step 4: Simplify right side
    23,825.72x = 294,675,579.50
  5. Step 5: Solve for x
    x = 294,675,579.50/23,825.72
  6. Step 6: Final answer
    x = 12,367.96

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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.