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Finding the Fourth Proportional to 12,134.10, 18,199.92 and 3,813.89

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Solution

The fourth proportional to 12,134.10, 18,199.92 and 3,813.89 is: 5,720.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,134.10 : 18,199.92 = 3,813.89 : x
  2. Step 2: Convert to fraction form
    12,134.10/18,199.92 = 3,813.89/x
  3. Step 3: Cross multiply
    12,134.10x = 18,199.92 × 3,813.89
  4. Step 4: Simplify right side
    12,134.10x = 69,412,416.19
  5. Step 5: Solve for x
    x = 69,412,416.19/12,134.10
  6. Step 6: Final answer
    x = 5,720.44

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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.