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Finding the Fourth Proportional to 12,294, 18,438.26 and 5,968.68

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Solution

The fourth proportional to 12,294, 18,438.26 and 5,968.68 is: 8,951.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,294 : 18,438.26 = 5,968.68 : x
  2. Step 2: Convert to fraction form
    12,294/18,438.26 = 5,968.68/x
  3. Step 3: Cross multiply
    12,294x = 18,438.26 × 5,968.68
  4. Step 4: Simplify right side
    12,294x = 110,052,073.70
  5. Step 5: Solve for x
    x = 110,052,073.70/12,294
  6. Step 6: Final answer
    x = 8,951.69

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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.