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Finding the Fourth Proportional to 13,032.49, 17,993.73 and 8,323.15

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Solution

The fourth proportional to 13,032.49, 17,993.73 and 8,323.15 is: 11,491.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,032.49 : 17,993.73 = 8,323.15 : x
  2. Step 2: Convert to fraction form
    13,032.49/17,993.73 = 8,323.15/x
  3. Step 3: Cross multiply
    13,032.49x = 17,993.73 × 8,323.15
  4. Step 4: Simplify right side
    13,032.49x = 149,764,513.85
  5. Step 5: Solve for x
    x = 149,764,513.85/13,032.49
  6. Step 6: Final answer
    x = 11,491.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.