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Finding the Fourth Proportional to 13,771.98, 20,679.03 and 12,142.26

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Solution

The fourth proportional to 13,771.98, 20,679.03 and 12,142.26 is: 18,231.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,771.98 : 20,679.03 = 12,142.26 : x
  2. Step 2: Convert to fraction form
    13,771.98/20,679.03 = 12,142.26/x
  3. Step 3: Cross multiply
    13,771.98x = 20,679.03 × 12,142.26
  4. Step 4: Simplify right side
    13,771.98x = 251,090,158.81
  5. Step 5: Solve for x
    x = 251,090,158.81/13,771.98
  6. Step 6: Final answer
    x = 18,231.96

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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.