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Finding the Fourth Proportional to 24,467.94, 36,704.34 and 7,823.79

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Solution

The fourth proportional to 24,467.94, 36,704.34 and 7,823.79 is: 11,736.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,467.94 : 36,704.34 = 7,823.79 : x
  2. Step 2: Convert to fraction form
    24,467.94/36,704.34 = 7,823.79/x
  3. Step 3: Cross multiply
    24,467.94x = 36,704.34 × 7,823.79
  4. Step 4: Simplify right side
    24,467.94x = 287,167,048.25
  5. Step 5: Solve for x
    x = 287,167,048.25/24,467.94
  6. Step 6: Final answer
    x = 11,736.46

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1.5x scale

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.