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Finding the Fourth Proportional to 13,410.41, 20,083.23 and 6,725.88

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Solution

The fourth proportional to 13,410.41, 20,083.23 and 6,725.88 is: 10,072.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,410.41 : 20,083.23 = 6,725.88 : x
  2. Step 2: Convert to fraction form
    13,410.41/20,083.23 = 6,725.88/x
  3. Step 3: Cross multiply
    13,410.41x = 20,083.23 × 6,725.88
  4. Step 4: Simplify right side
    13,410.41x = 135,077,394.99
  5. Step 5: Solve for x
    x = 135,077,394.99/13,410.41
  6. Step 6: Final answer
    x = 10,072.58

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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.