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Finding the Fourth Proportional to 17,203.25, 23,738.97 and 9,650.00

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Solution

The fourth proportional to 17,203.25, 23,738.97 and 9,650.00 is: 13,316.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,203.25 : 23,738.97 = 9,650.00 : x
  2. Step 2: Convert to fraction form
    17,203.25/23,738.97 = 9,650.00/x
  3. Step 3: Cross multiply
    17,203.25x = 23,738.97 × 9,650.00
  4. Step 4: Simplify right side
    17,203.25x = 229,081,156.03
  5. Step 5: Solve for x
    x = 229,081,156.03/17,203.25
  6. Step 6: Final answer
    x = 13,316.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.