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Finding the Fourth Proportional to 24,797.91, 34,221 and 13,467.32

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Solution

The fourth proportional to 24,797.91, 34,221 and 13,467.32 is: 18,584.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,797.91 : 34,221 = 13,467.32 : x
  2. Step 2: Convert to fraction form
    24,797.91/34,221 = 13,467.32/x
  3. Step 3: Cross multiply
    24,797.91x = 34,221 × 13,467.32
  4. Step 4: Simplify right side
    24,797.91x = 460,864,986.62
  5. Step 5: Solve for x
    x = 460,864,986.62/24,797.91
  6. Step 6: Final answer
    x = 18,584.83

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1.5x scale

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.