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Finding the Fourth Proportional to 13,684.43, 20,522.99 and 7,016.51

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Solution

The fourth proportional to 13,684.43, 20,522.99 and 7,016.51 is: 10,522.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,684.43 : 20,522.99 = 7,016.51 : x
  2. Step 2: Convert to fraction form
    13,684.43/20,522.99 = 7,016.51/x
  3. Step 3: Cross multiply
    13,684.43x = 20,522.99 × 7,016.51
  4. Step 4: Simplify right side
    13,684.43x = 143,999,626.87
  5. Step 5: Solve for x
    x = 143,999,626.87/13,684.43
  6. Step 6: Final answer
    x = 10,522.88

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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.