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Finding the Fourth Proportional to 13,714.70, 18,926.36 and 7,427.08

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Solution

The fourth proportional to 13,714.70, 18,926.36 and 7,427.08 is: 10,249.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,714.70 : 18,926.36 = 7,427.08 : x
  2. Step 2: Convert to fraction form
    13,714.70/18,926.36 = 7,427.08/x
  3. Step 3: Cross multiply
    13,714.70x = 18,926.36 × 7,427.08
  4. Step 4: Simplify right side
    13,714.70x = 140,567,589.83
  5. Step 5: Solve for x
    x = 140,567,589.83/13,714.70
  6. Step 6: Final answer
    x = 10,249.41

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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.