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Finding the Fourth Proportional to 11,614.44, 17,421.49 and 2,849.42

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Solution

The fourth proportional to 11,614.44, 17,421.49 and 2,849.42 is: 4,274.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,614.44 : 17,421.49 = 2,849.42 : x
  2. Step 2: Convert to fraction form
    11,614.44/17,421.49 = 2,849.42/x
  3. Step 3: Cross multiply
    11,614.44x = 17,421.49 × 2,849.42
  4. Step 4: Simplify right side
    11,614.44x = 49,641,142.04
  5. Step 5: Solve for x
    x = 49,641,142.04/11,614.44
  6. Step 6: Final answer
    x = 4,274.09

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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.