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Finding the Fourth Proportional to 17,757.42, 24,504.41 and 10,198.43

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Solution

The fourth proportional to 17,757.42, 24,504.41 and 10,198.43 is: 14,073.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,757.42 : 24,504.41 = 10,198.43 : x
  2. Step 2: Convert to fraction form
    17,757.42/24,504.41 = 10,198.43/x
  3. Step 3: Cross multiply
    17,757.42x = 24,504.41 × 10,198.43
  4. Step 4: Simplify right side
    17,757.42x = 249,906,336.56
  5. Step 5: Solve for x
    x = 249,906,336.56/17,757.42
  6. Step 6: Final answer
    x = 14,073.35

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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.