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Finding the Fourth Proportional to 24,674.37, 34,046.91 and 15,729.54

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Solution

The fourth proportional to 24,674.37, 34,046.91 and 15,729.54 is: 21,704.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,674.37 : 34,046.91 = 15,729.54 : x
  2. Step 2: Convert to fraction form
    24,674.37/34,046.91 = 15,729.54/x
  3. Step 3: Cross multiply
    24,674.37x = 34,046.91 × 15,729.54
  4. Step 4: Simplify right side
    24,674.37x = 535,542,232.72
  5. Step 5: Solve for x
    x = 535,542,232.72/24,674.37
  6. Step 6: Final answer
    x = 21,704.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.