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Finding the Fourth Proportional to 13,514.84, 20,272.14 and 3,654.09

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Solution

The fourth proportional to 13,514.84, 20,272.14 and 3,654.09 is: 5,481.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,514.84 : 20,272.14 = 3,654.09 : x
  2. Step 2: Convert to fraction form
    13,514.84/20,272.14 = 3,654.09/x
  3. Step 3: Cross multiply
    13,514.84x = 20,272.14 × 3,654.09
  4. Step 4: Simplify right side
    13,514.84x = 74,076,224.05
  5. Step 5: Solve for x
    x = 74,076,224.05/13,514.84
  6. Step 6: Final answer
    x = 5,481.10

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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.