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Finding the Fourth Proportional to 23,546.63, 35,319.03 and 7,964.25

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Solution

The fourth proportional to 23,546.63, 35,319.03 and 7,964.25 is: 11,946.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,546.63 : 35,319.03 = 7,964.25 : x
  2. Step 2: Convert to fraction form
    23,546.63/35,319.03 = 7,964.25/x
  3. Step 3: Cross multiply
    23,546.63x = 35,319.03 × 7,964.25
  4. Step 4: Simplify right side
    23,546.63x = 281,289,584.68
  5. Step 5: Solve for x
    x = 281,289,584.68/23,546.63
  6. Step 6: Final answer
    x = 11,946.07

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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.