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Finding the Fourth Proportional to 17,238.80, 23,785.80 and 9,786.80

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Solution

The fourth proportional to 17,238.80, 23,785.80 and 9,786.80 is: 13,503.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,238.80 : 23,785.80 = 9,786.80 : x
  2. Step 2: Convert to fraction form
    17,238.80/23,785.80 = 9,786.80/x
  3. Step 3: Cross multiply
    17,238.80x = 23,785.80 × 9,786.80
  4. Step 4: Simplify right side
    17,238.80x = 232,786,867.44
  5. Step 5: Solve for x
    x = 232,786,867.44/17,238.80
  6. Step 6: Final answer
    x = 13,503.66

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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.