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Finding the Fourth Proportional to 11,744.44, 17,613.99 and 3,422.63

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Solution

The fourth proportional to 11,744.44, 17,613.99 and 3,422.63 is: 5,133.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,744.44 : 17,613.99 = 3,422.63 : x
  2. Step 2: Convert to fraction form
    11,744.44/17,613.99 = 3,422.63/x
  3. Step 3: Cross multiply
    11,744.44x = 17,613.99 × 3,422.63
  4. Step 4: Simplify right side
    11,744.44x = 60,286,214.63
  5. Step 5: Solve for x
    x = 60,286,214.63/11,744.44
  6. Step 6: Final answer
    x = 5,133.17

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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.