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Finding the Fourth Proportional to 23,728.68, 35,597.12 and 9,696.33

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Solution

The fourth proportional to 23,728.68, 35,597.12 and 9,696.33 is: 14,546.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,728.68 : 35,597.12 = 9,696.33 : x
  2. Step 2: Convert to fraction form
    23,728.68/35,597.12 = 9,696.33/x
  3. Step 3: Cross multiply
    23,728.68x = 35,597.12 × 9,696.33
  4. Step 4: Simplify right side
    23,728.68x = 345,161,374.09
  5. Step 5: Solve for x
    x = 345,161,374.09/23,728.68
  6. Step 6: Final answer
    x = 14,546.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.