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Finding the Fourth Proportional to 12,589.37, 18,884.48 and 3,824.25

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Solution

The fourth proportional to 12,589.37, 18,884.48 and 3,824.25 is: 5,736.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,589.37 : 18,884.48 = 3,824.25 : x
  2. Step 2: Convert to fraction form
    12,589.37/18,884.48 = 3,824.25/x
  3. Step 3: Cross multiply
    12,589.37x = 18,884.48 × 3,824.25
  4. Step 4: Simplify right side
    12,589.37x = 72,218,953.52
  5. Step 5: Solve for x
    x = 72,218,953.52/12,589.37
  6. Step 6: Final answer
    x = 5,736.50

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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.