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Finding the Fourth Proportional to 23,968.40, 35,968.60 and 8,386

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Solution

The fourth proportional to 23,968.40, 35,968.60 and 8,386 is: 12,584.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,968.40 : 35,968.60 = 8,386 : x
  2. Step 2: Convert to fraction form
    23,968.40/35,968.60 = 8,386/x
  3. Step 3: Cross multiply
    23,968.40x = 35,968.60 × 8,386
  4. Step 4: Simplify right side
    23,968.40x = 301,632,679.60
  5. Step 5: Solve for x
    x = 301,632,679.60/23,968.40
  6. Step 6: Final answer
    x = 12,584.60

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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.