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Finding the Fourth Proportional to 11,614.83, 17,424.73 and 3,609.43

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Solution

The fourth proportional to 11,614.83, 17,424.73 and 3,609.43 is: 5,414.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,614.83 : 17,424.73 = 3,609.43 : x
  2. Step 2: Convert to fraction form
    11,614.83/17,424.73 = 3,609.43/x
  3. Step 3: Cross multiply
    11,614.83x = 17,424.73 × 3,609.43
  4. Step 4: Simplify right side
    11,614.83x = 62,893,343.20
  5. Step 5: Solve for x
    x = 62,893,343.20/11,614.83
  6. Step 6: Final answer
    x = 5,414.92

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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.