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Finding the Fourth Proportional to 23,563.38, 32,517.92 and 12,954

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Solution

The fourth proportional to 23,563.38, 32,517.92 and 12,954 is: 17,876.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,563.38 : 32,517.92 = 12,954 : x
  2. Step 2: Convert to fraction form
    23,563.38/32,517.92 = 12,954/x
  3. Step 3: Cross multiply
    23,563.38x = 32,517.92 × 12,954
  4. Step 4: Simplify right side
    23,563.38x = 421,237,135.68
  5. Step 5: Solve for x
    x = 421,237,135.68/23,563.38
  6. Step 6: Final answer
    x = 17,876.77

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Why These Related Problems?

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