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Finding the Fourth Proportional to 23,804.89, 35,716.44 and 10,647.80

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Solution

The fourth proportional to 23,804.89, 35,716.44 and 10,647.80 is: 15,975.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,804.89 : 35,716.44 = 10,647.80 : x
  2. Step 2: Convert to fraction form
    23,804.89/35,716.44 = 10,647.80/x
  3. Step 3: Cross multiply
    23,804.89x = 35,716.44 × 10,647.80
  4. Step 4: Simplify right side
    23,804.89x = 380,301,706.02
  5. Step 5: Solve for x
    x = 380,301,706.02/23,804.89
  6. Step 6: Final answer
    x = 15,975.78

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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.