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Finding the Fourth Proportional to 30,382.89, 41,928.31 and 16,954

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Solution

The fourth proportional to 30,382.89, 41,928.31 and 16,954 is: 23,396.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,382.89 : 41,928.31 = 16,954 : x
  2. Step 2: Convert to fraction form
    30,382.89/41,928.31 = 16,954/x
  3. Step 3: Cross multiply
    30,382.89x = 41,928.31 × 16,954
  4. Step 4: Simplify right side
    30,382.89x = 710,852,567.74
  5. Step 5: Solve for x
    x = 710,852,567.74/30,382.89
  6. Step 6: Final answer
    x = 23,396.48

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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.