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Finding the Fourth Proportional to 13,318.75, 18,379.15 and 8,282.82

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Solution

The fourth proportional to 13,318.75, 18,379.15 and 8,282.82 is: 11,429.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,318.75 : 18,379.15 = 8,282.82 : x
  2. Step 2: Convert to fraction form
    13,318.75/18,379.15 = 8,282.82/x
  3. Step 3: Cross multiply
    13,318.75x = 18,379.15 × 8,282.82
  4. Step 4: Simplify right side
    13,318.75x = 152,231,286.01
  5. Step 5: Solve for x
    x = 152,231,286.01/13,318.75
  6. Step 6: Final answer
    x = 11,429.85

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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.