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Finding the Fourth Proportional to 24,469.94, 36,704.24 and 7,829.84

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Solution

The fourth proportional to 24,469.94, 36,704.24 and 7,829.84 is: 11,744.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,469.94 : 36,704.24 = 7,829.84 : x
  2. Step 2: Convert to fraction form
    24,469.94/36,704.24 = 7,829.84/x
  3. Step 3: Cross multiply
    24,469.94x = 36,704.24 × 7,829.84
  4. Step 4: Simplify right side
    24,469.94x = 287,388,326.52
  5. Step 5: Solve for x
    x = 287,388,326.52/24,469.94
  6. Step 6: Final answer
    x = 11,744.55

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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.