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Finding the Fourth Proportional to 13,645.27, 20,429.94 and 6,967.34

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Solution

The fourth proportional to 13,645.27, 20,429.94 and 6,967.34 is: 10,431.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,645.27 : 20,429.94 = 6,967.34 : x
  2. Step 2: Convert to fraction form
    13,645.27/20,429.94 = 6,967.34/x
  3. Step 3: Cross multiply
    13,645.27x = 20,429.94 × 6,967.34
  4. Step 4: Simplify right side
    13,645.27x = 142,342,453.67
  5. Step 5: Solve for x
    x = 142,342,453.67/13,645.27
  6. Step 6: Final answer
    x = 10,431.63

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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.