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Finding the Fourth Proportional to 11,633.94, 17,450.68 and 3,314.01

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Solution

The fourth proportional to 11,633.94, 17,450.68 and 3,314.01 is: 4,970.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,633.94 : 17,450.68 = 3,314.01 : x
  2. Step 2: Convert to fraction form
    11,633.94/17,450.68 = 3,314.01/x
  3. Step 3: Cross multiply
    11,633.94x = 17,450.68 × 3,314.01
  4. Step 4: Simplify right side
    11,633.94x = 57,831,716.57
  5. Step 5: Solve for x
    x = 57,831,716.57/11,633.94
  6. Step 6: Final answer
    x = 4,970.95

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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.