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Finding the Fourth Proportional to 12,132.74, 18,199.10 and 3,813.42

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Solution

The fourth proportional to 12,132.74, 18,199.10 and 3,813.42 is: 5,720.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,132.74 : 18,199.10 = 3,813.42 : x
  2. Step 2: Convert to fraction form
    12,132.74/18,199.10 = 3,813.42/x
  3. Step 3: Cross multiply
    12,132.74x = 18,199.10 × 3,813.42
  4. Step 4: Simplify right side
    12,132.74x = 69,400,811.92
  5. Step 5: Solve for x
    x = 69,400,811.92/12,132.74
  6. Step 6: Final answer
    x = 5,720.13

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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.