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Finding the Fourth Proportional to 14,846.36, 22,271.36 and 6,944.81

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Solution

The fourth proportional to 14,846.36, 22,271.36 and 6,944.81 is: 10,418.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,846.36 : 22,271.36 = 6,944.81 : x
  2. Step 2: Convert to fraction form
    14,846.36/22,271.36 = 6,944.81/x
  3. Step 3: Cross multiply
    14,846.36x = 22,271.36 × 6,944.81
  4. Step 4: Simplify right side
    14,846.36x = 154,670,217.56
  5. Step 5: Solve for x
    x = 154,670,217.56/14,846.36
  6. Step 6: Final answer
    x = 10,418.06

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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.