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Finding the Fourth Proportional to 13,673.26, 18,869.79 and 8,366.50

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Solution

The fourth proportional to 13,673.26, 18,869.79 and 8,366.50 is: 11,546.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,673.26 : 18,869.79 = 8,366.50 : x
  2. Step 2: Convert to fraction form
    13,673.26/18,869.79 = 8,366.50/x
  3. Step 3: Cross multiply
    13,673.26x = 18,869.79 × 8,366.50
  4. Step 4: Simplify right side
    13,673.26x = 157,874,098.04
  5. Step 5: Solve for x
    x = 157,874,098.04/13,673.26
  6. Step 6: Final answer
    x = 11,546.19

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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.