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Finding the Fourth Proportional to 13,728.96, 20,589.62 and 6,705.16

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Solution

The fourth proportional to 13,728.96, 20,589.62 and 6,705.16 is: 10,055.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,728.96 : 20,589.62 = 6,705.16 : x
  2. Step 2: Convert to fraction form
    13,728.96/20,589.62 = 6,705.16/x
  3. Step 3: Cross multiply
    13,728.96x = 20,589.62 × 6,705.16
  4. Step 4: Simplify right side
    13,728.96x = 138,056,696.44
  5. Step 5: Solve for x
    x = 138,056,696.44/13,728.96
  6. Step 6: Final answer
    x = 10,055.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.