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Finding the Fourth Proportional to 13,816.80, 20,741.04 and 11,730.24

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Solution

The fourth proportional to 13,816.80, 20,741.04 and 11,730.24 is: 17,608.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,816.80 : 20,741.04 = 11,730.24 : x
  2. Step 2: Convert to fraction form
    13,816.80/20,741.04 = 11,730.24/x
  3. Step 3: Cross multiply
    13,816.80x = 20,741.04 × 11,730.24
  4. Step 4: Simplify right side
    13,816.80x = 243,297,377.05
  5. Step 5: Solve for x
    x = 243,297,377.05/13,816.80
  6. Step 6: Final answer
    x = 17,608.81

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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.