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Finding the Fourth Proportional to 13,261.44, 18,299.92 and 7,672

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Solution

The fourth proportional to 13,261.44, 18,299.92 and 7,672 is: 10,586.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,261.44 : 18,299.92 = 7,672 : x
  2. Step 2: Convert to fraction form
    13,261.44/18,299.92 = 7,672/x
  3. Step 3: Cross multiply
    13,261.44x = 18,299.92 × 7,672
  4. Step 4: Simplify right side
    13,261.44x = 140,396,986.24
  5. Step 5: Solve for x
    x = 140,396,986.24/13,261.44
  6. Step 6: Final answer
    x = 10,586.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.