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Finding the Fourth Proportional to 17,185.75, 23,716.34 and 9,733.75

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Solution

The fourth proportional to 17,185.75, 23,716.34 and 9,733.75 is: 13,432.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,185.75 : 23,716.34 = 9,733.75 : x
  2. Step 2: Convert to fraction form
    17,185.75/23,716.34 = 9,733.75/x
  3. Step 3: Cross multiply
    17,185.75x = 23,716.34 × 9,733.75
  4. Step 4: Simplify right side
    17,185.75x = 230,848,924.48
  5. Step 5: Solve for x
    x = 230,848,924.48/17,185.75
  6. Step 6: Final answer
    x = 13,432.58

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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.