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Finding the Fourth Proportional to 13,714.89, 18,926.34 and 7,427.27

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Solution

The fourth proportional to 13,714.89, 18,926.34 and 7,427.27 is: 10,249.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,714.89 : 18,926.34 = 7,427.27 : x
  2. Step 2: Convert to fraction form
    13,714.89/18,926.34 = 7,427.27/x
  3. Step 3: Cross multiply
    13,714.89x = 18,926.34 × 7,427.27
  4. Step 4: Simplify right side
    13,714.89x = 140,570,942.66
  5. Step 5: Solve for x
    x = 140,570,942.66/13,714.89
  6. Step 6: Final answer
    x = 10,249.51

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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.