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Finding the Fourth Proportional to 12,245.44, 18,401.28 and 6,406.36

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Solution

The fourth proportional to 12,245.44, 18,401.28 and 6,406.36 is: 9,626.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,245.44 : 18,401.28 = 6,406.36 : x
  2. Step 2: Convert to fraction form
    12,245.44/18,401.28 = 6,406.36/x
  3. Step 3: Cross multiply
    12,245.44x = 18,401.28 × 6,406.36
  4. Step 4: Simplify right side
    12,245.44x = 117,885,224.14
  5. Step 5: Solve for x
    x = 117,885,224.14/12,245.44
  6. Step 6: Final answer
    x = 9,626.87

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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.