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Finding the Fourth Proportional to 30,199.33, 41,673 and 16,769.89

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Solution

The fourth proportional to 30,199.33, 41,673 and 16,769.89 is: 23,141.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,199.33 : 41,673 = 16,769.89 : x
  2. Step 2: Convert to fraction form
    30,199.33/41,673 = 16,769.89/x
  3. Step 3: Cross multiply
    30,199.33x = 41,673 × 16,769.89
  4. Step 4: Simplify right side
    30,199.33x = 698,851,625.97
  5. Step 5: Solve for x
    x = 698,851,625.97/30,199.33
  6. Step 6: Final answer
    x = 23,141.30

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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.