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Finding the Fourth Proportional to 12,134.21, 16,748.37 and 7,422.44

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Solution

The fourth proportional to 12,134.21, 16,748.37 and 7,422.44 is: 10,244.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,134.21 : 16,748.37 = 7,422.44 : x
  2. Step 2: Convert to fraction form
    12,134.21/16,748.37 = 7,422.44/x
  3. Step 3: Cross multiply
    12,134.21x = 16,748.37 × 7,422.44
  4. Step 4: Simplify right side
    12,134.21x = 124,313,687.68
  5. Step 5: Solve for x
    x = 124,313,687.68/12,134.21
  6. Step 6: Final answer
    x = 10,244.90

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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.