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Finding the Fourth Proportional to 13,886.37, 20,834.69 and 6,493.23

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Solution

The fourth proportional to 13,886.37, 20,834.69 and 6,493.23 is: 9,742.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,886.37 : 20,834.69 = 6,493.23 : x
  2. Step 2: Convert to fraction form
    13,886.37/20,834.69 = 6,493.23/x
  3. Step 3: Cross multiply
    13,886.37x = 20,834.69 × 6,493.23
  4. Step 4: Simplify right side
    13,886.37x = 135,284,401.68
  5. Step 5: Solve for x
    x = 135,284,401.68/13,886.37
  6. Step 6: Final answer
    x = 9,742.24

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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.