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Finding the Fourth Proportional to 13,609.88, 20,416.11 and 5,290.54

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Solution

The fourth proportional to 13,609.88, 20,416.11 and 5,290.54 is: 7,936.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,609.88 : 20,416.11 = 5,290.54 : x
  2. Step 2: Convert to fraction form
    13,609.88/20,416.11 = 5,290.54/x
  3. Step 3: Cross multiply
    13,609.88x = 20,416.11 × 5,290.54
  4. Step 4: Simplify right side
    13,609.88x = 108,012,175.72
  5. Step 5: Solve for x
    x = 108,012,175.72/13,609.88
  6. Step 6: Final answer
    x = 7,936.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.