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Finding the Fourth Proportional to 19,797.92, 27,310.78 and 12,241.84

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Solution

The fourth proportional to 19,797.92, 27,310.78 and 12,241.84 is: 16,887.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,797.92 : 27,310.78 = 12,241.84 : x
  2. Step 2: Convert to fraction form
    19,797.92/27,310.78 = 12,241.84/x
  3. Step 3: Cross multiply
    19,797.92x = 27,310.78 × 12,241.84
  4. Step 4: Simplify right side
    19,797.92x = 334,334,100.15
  5. Step 5: Solve for x
    x = 334,334,100.15/19,797.92
  6. Step 6: Final answer
    x = 16,887.33

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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.