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Finding the Fourth Proportional to 30,213.65, 41,694.93 and 16,784.93

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Solution

The fourth proportional to 30,213.65, 41,694.93 and 16,784.93 is: 23,163.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,213.65 : 41,694.93 = 16,784.93 : x
  2. Step 2: Convert to fraction form
    30,213.65/41,694.93 = 16,784.93/x
  3. Step 3: Cross multiply
    30,213.65x = 41,694.93 × 16,784.93
  4. Step 4: Simplify right side
    30,213.65x = 699,846,272.93
  5. Step 5: Solve for x
    x = 699,846,272.93/30,213.65
  6. Step 6: Final answer
    x = 23,163.25

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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.