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Finding the Fourth Proportional to 17,080.50, 23,571.09 and 9,628.50

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Solution

The fourth proportional to 17,080.50, 23,571.09 and 9,628.50 is: 13,287.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,080.50 : 23,571.09 = 9,628.50 : x
  2. Step 2: Convert to fraction form
    17,080.50/23,571.09 = 9,628.50/x
  3. Step 3: Cross multiply
    17,080.50x = 23,571.09 × 9,628.50
  4. Step 4: Simplify right side
    17,080.50x = 226,954,240.07
  5. Step 5: Solve for x
    x = 226,954,240.07/17,080.50
  6. Step 6: Final answer
    x = 13,287.33

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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.