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Finding the Fourth Proportional to 12,090.82, 18,119.20 and 9,614.65

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Solution

The fourth proportional to 12,090.82, 18,119.20 and 9,614.65 is: 14,408.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,090.82 : 18,119.20 = 9,614.65 : x
  2. Step 2: Convert to fraction form
    12,090.82/18,119.20 = 9,614.65/x
  3. Step 3: Cross multiply
    12,090.82x = 18,119.20 × 9,614.65
  4. Step 4: Simplify right side
    12,090.82x = 174,209,766.28
  5. Step 5: Solve for x
    x = 174,209,766.28/12,090.82
  6. Step 6: Final answer
    x = 14,408.43

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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.