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Finding the Fourth Proportional to 11,735.66, 17,605.20 and 3,414.59

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Solution

The fourth proportional to 11,735.66, 17,605.20 and 3,414.59 is: 5,122.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,735.66 : 17,605.20 = 3,414.59 : x
  2. Step 2: Convert to fraction form
    11,735.66/17,605.20 = 3,414.59/x
  3. Step 3: Cross multiply
    11,735.66x = 17,605.20 × 3,414.59
  4. Step 4: Simplify right side
    11,735.66x = 60,114,539.87
  5. Step 5: Solve for x
    x = 60,114,539.87/11,735.66
  6. Step 6: Final answer
    x = 5,122.38

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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.