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Finding the Fourth Proportional to 17,291.96, 23,863.34 and 9,738.57

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Solution

The fourth proportional to 17,291.96, 23,863.34 and 9,738.57 is: 13,439.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,291.96 : 23,863.34 = 9,738.57 : x
  2. Step 2: Convert to fraction form
    17,291.96/23,863.34 = 9,738.57/x
  3. Step 3: Cross multiply
    17,291.96x = 23,863.34 × 9,738.57
  4. Step 4: Simplify right side
    17,291.96x = 232,394,758.33
  5. Step 5: Solve for x
    x = 232,394,758.33/17,291.96
  6. Step 6: Final answer
    x = 13,439.47

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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.