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Finding the Fourth Proportional to 13,384.62, 18,469.28 and 7,414.80

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Solution

The fourth proportional to 13,384.62, 18,469.28 and 7,414.80 is: 10,231.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,384.62 : 18,469.28 = 7,414.80 : x
  2. Step 2: Convert to fraction form
    13,384.62/18,469.28 = 7,414.80/x
  3. Step 3: Cross multiply
    13,384.62x = 18,469.28 × 7,414.80
  4. Step 4: Simplify right side
    13,384.62x = 136,946,035.88
  5. Step 5: Solve for x
    x = 136,946,035.88/13,384.62
  6. Step 6: Final answer
    x = 10,231.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.