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Finding the Fourth Proportional to 11,664.71, 17,493.47 and 3,342.49

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Solution

The fourth proportional to 11,664.71, 17,493.47 and 3,342.49 is: 5,012.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,664.71 : 17,493.47 = 3,342.49 : x
  2. Step 2: Convert to fraction form
    11,664.71/17,493.47 = 3,342.49/x
  3. Step 3: Cross multiply
    11,664.71x = 17,493.47 × 3,342.49
  4. Step 4: Simplify right side
    11,664.71x = 58,471,817.83
  5. Step 5: Solve for x
    x = 58,471,817.83/11,664.71
  6. Step 6: Final answer
    x = 5,012.71

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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.