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Finding the Fourth Proportional to 13,257.27, 18,288.08 and 8,219.85

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Solution

The fourth proportional to 13,257.27, 18,288.08 and 8,219.85 is: 11,339.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,257.27 : 18,288.08 = 8,219.85 : x
  2. Step 2: Convert to fraction form
    13,257.27/18,288.08 = 8,219.85/x
  3. Step 3: Cross multiply
    13,257.27x = 18,288.08 × 8,219.85
  4. Step 4: Simplify right side
    13,257.27x = 150,325,233.29
  5. Step 5: Solve for x
    x = 150,325,233.29/13,257.27
  6. Step 6: Final answer
    x = 11,339.08

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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.