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Finding the Fourth Proportional to 18,200.80, 27,302.10 and 9,452.80

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Solution

The fourth proportional to 18,200.80, 27,302.10 and 9,452.80 is: 14,179.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,200.80 : 27,302.10 = 9,452.80 : x
  2. Step 2: Convert to fraction form
    18,200.80/27,302.10 = 9,452.80/x
  3. Step 3: Cross multiply
    18,200.80x = 27,302.10 × 9,452.80
  4. Step 4: Simplify right side
    18,200.80x = 258,081,290.88
  5. Step 5: Solve for x
    x = 258,081,290.88/18,200.80
  6. Step 6: Final answer
    x = 14,179.67

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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.