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Finding the Fourth Proportional to 17,640.33, 24,342.84 and 9,682.41

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Solution

The fourth proportional to 17,640.33, 24,342.84 and 9,682.41 is: 13,361.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,640.33 : 24,342.84 = 9,682.41 : x
  2. Step 2: Convert to fraction form
    17,640.33/24,342.84 = 9,682.41/x
  3. Step 3: Cross multiply
    17,640.33x = 24,342.84 × 9,682.41
  4. Step 4: Simplify right side
    17,640.33x = 235,697,357.44
  5. Step 5: Solve for x
    x = 235,697,357.44/17,640.33
  6. Step 6: Final answer
    x = 13,361.28

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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.