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Finding the Fourth Proportional to 13,454.96, 18,568.46 and 11,213.09

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Solution

The fourth proportional to 13,454.96, 18,568.46 and 11,213.09 is: 15,474.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,454.96 : 18,568.46 = 11,213.09 : x
  2. Step 2: Convert to fraction form
    13,454.96/18,568.46 = 11,213.09/x
  3. Step 3: Cross multiply
    13,454.96x = 18,568.46 × 11,213.09
  4. Step 4: Simplify right side
    13,454.96x = 208,209,813.14
  5. Step 5: Solve for x
    x = 208,209,813.14/13,454.96
  6. Step 6: Final answer
    x = 15,474.58

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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.