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Finding the Fourth Proportional to 13,536.75, 20,302.73 and 3,676.80

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Solution

The fourth proportional to 13,536.75, 20,302.73 and 3,676.80 is: 5,514.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,536.75 : 20,302.73 = 3,676.80 : x
  2. Step 2: Convert to fraction form
    13,536.75/20,302.73 = 3,676.80/x
  3. Step 3: Cross multiply
    13,536.75x = 20,302.73 × 3,676.80
  4. Step 4: Simplify right side
    13,536.75x = 74,649,077.66
  5. Step 5: Solve for x
    x = 74,649,077.66/13,536.75
  6. Step 6: Final answer
    x = 5,514.55

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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.