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Finding the Fourth Proportional to 23,884.87, 35,827.39 and 7,245.05

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Solution

The fourth proportional to 23,884.87, 35,827.39 and 7,245.05 is: 10,867.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,884.87 : 35,827.39 = 7,245.05 : x
  2. Step 2: Convert to fraction form
    23,884.87/35,827.39 = 7,245.05/x
  3. Step 3: Cross multiply
    23,884.87x = 35,827.39 × 7,245.05
  4. Step 4: Simplify right side
    23,884.87x = 259,571,034.67
  5. Step 5: Solve for x
    x = 259,571,034.67/23,884.87
  6. Step 6: Final answer
    x = 10,867.59

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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.