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Finding the Fourth Proportional to 18,771.34, 28,136.76 and 12,202.24

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Solution

The fourth proportional to 18,771.34, 28,136.76 and 12,202.24 is: 18,290.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,771.34 : 28,136.76 = 12,202.24 : x
  2. Step 2: Convert to fraction form
    18,771.34/28,136.76 = 12,202.24/x
  3. Step 3: Cross multiply
    18,771.34x = 28,136.76 × 12,202.24
  4. Step 4: Simplify right side
    18,771.34x = 343,331,498.34
  5. Step 5: Solve for x
    x = 343,331,498.34/18,771.34
  6. Step 6: Final answer
    x = 18,290.20

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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.