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Finding the Fourth Proportional to 8,224.38, 12,336.30 and 2,301.66

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Solution

The fourth proportional to 8,224.38, 12,336.30 and 2,301.66 is: 3,452.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224.38 : 12,336.30 = 2,301.66 : x
  2. Step 2: Convert to fraction form
    8,224.38/12,336.30 = 2,301.66/x
  3. Step 3: Cross multiply
    8,224.38x = 12,336.30 × 2,301.66
  4. Step 4: Simplify right side
    8,224.38x = 28,393,968.26
  5. Step 5: Solve for x
    x = 28,393,968.26/8,224.38
  6. Step 6: Final answer
    x = 3,452.41

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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.