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Finding the Fourth Proportional to 13,424.40, 18,522.74 and 8,119.10

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Solution

The fourth proportional to 13,424.40, 18,522.74 and 8,119.10 is: 11,202.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,424.40 : 18,522.74 = 8,119.10 : x
  2. Step 2: Convert to fraction form
    13,424.40/18,522.74 = 8,119.10/x
  3. Step 3: Cross multiply
    13,424.40x = 18,522.74 × 8,119.10
  4. Step 4: Simplify right side
    13,424.40x = 150,388,044.94
  5. Step 5: Solve for x
    x = 150,388,044.94/13,424.40
  6. Step 6: Final answer
    x = 11,202.59

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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.