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Finding the Fourth Proportional to 13,861.26, 20,801.31 and 6,466.47

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Solution

The fourth proportional to 13,861.26, 20,801.31 and 6,466.47 is: 9,704.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,861.26 : 20,801.31 = 6,466.47 : x
  2. Step 2: Convert to fraction form
    13,861.26/20,801.31 = 6,466.47/x
  3. Step 3: Cross multiply
    13,861.26x = 20,801.31 × 6,466.47
  4. Step 4: Simplify right side
    13,861.26x = 134,511,047.08
  5. Step 5: Solve for x
    x = 134,511,047.08/13,861.26
  6. Step 6: Final answer
    x = 9,704.10

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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.