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Finding the Fourth Proportional to 13,722.10, 20,568.99 and 6,693.43

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Solution

The fourth proportional to 13,722.10, 20,568.99 and 6,693.43 is: 10,033.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,722.10 : 20,568.99 = 6,693.43 : x
  2. Step 2: Convert to fraction form
    13,722.10/20,568.99 = 6,693.43/x
  3. Step 3: Cross multiply
    13,722.10x = 20,568.99 × 6,693.43
  4. Step 4: Simplify right side
    13,722.10x = 137,676,991.89
  5. Step 5: Solve for x
    x = 137,676,991.89/13,722.10
  6. Step 6: Final answer
    x = 10,033.23

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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.