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Finding the Fourth Proportional to 13,816.70, 20,724.84 and 3,428.45

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Solution

The fourth proportional to 13,816.70, 20,724.84 and 3,428.45 is: 5,142.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,816.70 : 20,724.84 = 3,428.45 : x
  2. Step 2: Convert to fraction form
    13,816.70/20,724.84 = 3,428.45/x
  3. Step 3: Cross multiply
    13,816.70x = 20,724.84 × 3,428.45
  4. Step 4: Simplify right side
    13,816.70x = 71,053,974.07
  5. Step 5: Solve for x
    x = 71,053,974.07/13,816.70
  6. Step 6: Final answer
    x = 5,142.62

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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.