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Finding the Fourth Proportional to 13,382.85, 18,462.42 and 9,406.56

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Solution

The fourth proportional to 13,382.85, 18,462.42 and 9,406.56 is: 12,976.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,382.85 : 18,462.42 = 9,406.56 : x
  2. Step 2: Convert to fraction form
    13,382.85/18,462.42 = 9,406.56/x
  3. Step 3: Cross multiply
    13,382.85x = 18,462.42 × 9,406.56
  4. Step 4: Simplify right side
    13,382.85x = 173,667,861.48
  5. Step 5: Solve for x
    x = 173,667,861.48/13,382.85
  6. Step 6: Final answer
    x = 12,976.90

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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.