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Finding the Fourth Proportional to 13,638.24, 18,817.92 and 8,048.16

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Solution

The fourth proportional to 13,638.24, 18,817.92 and 8,048.16 is: 11,104.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,638.24 : 18,817.92 = 8,048.16 : x
  2. Step 2: Convert to fraction form
    13,638.24/18,817.92 = 8,048.16/x
  3. Step 3: Cross multiply
    13,638.24x = 18,817.92 × 8,048.16
  4. Step 4: Simplify right side
    13,638.24x = 151,449,631.03
  5. Step 5: Solve for x
    x = 151,449,631.03/13,638.24
  6. Step 6: Final answer
    x = 11,104.78

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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.