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Finding the Fourth Proportional to 13,816.45, 20,730.81 and 7,241.08

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Solution

The fourth proportional to 13,816.45, 20,730.81 and 7,241.08 is: 10,864.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,816.45 : 20,730.81 = 7,241.08 : x
  2. Step 2: Convert to fraction form
    13,816.45/20,730.81 = 7,241.08/x
  3. Step 3: Cross multiply
    13,816.45x = 20,730.81 × 7,241.08
  4. Step 4: Simplify right side
    13,816.45x = 150,113,453.67
  5. Step 5: Solve for x
    x = 150,113,453.67/13,816.45
  6. Step 6: Final answer
    x = 10,864.84

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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.