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Finding the Fourth Proportional to 17,704.78, 24,439.22 and 11,738.45

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Solution

The fourth proportional to 17,704.78, 24,439.22 and 11,738.45 is: 16,203.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,704.78 : 24,439.22 = 11,738.45 : x
  2. Step 2: Convert to fraction form
    17,704.78/24,439.22 = 11,738.45/x
  3. Step 3: Cross multiply
    17,704.78x = 24,439.22 × 11,738.45
  4. Step 4: Simplify right side
    17,704.78x = 286,878,608.43
  5. Step 5: Solve for x
    x = 286,878,608.43/17,704.78
  6. Step 6: Final answer
    x = 16,203.46

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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.