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Finding the Fourth Proportional to 23,447.68, 35,171.74 and 9,217.60

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Solution

The fourth proportional to 23,447.68, 35,171.74 and 9,217.60 is: 13,826.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,447.68 : 35,171.74 = 9,217.60 : x
  2. Step 2: Convert to fraction form
    23,447.68/35,171.74 = 9,217.60/x
  3. Step 3: Cross multiply
    23,447.68x = 35,171.74 × 9,217.60
  4. Step 4: Simplify right side
    23,447.68x = 324,198,980.14
  5. Step 5: Solve for x
    x = 324,198,980.14/23,447.68
  6. Step 6: Final answer
    x = 13,826.49

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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.