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Finding the Fourth Proportional to 12,069.81, 18,101.88 and 3,634.65

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Solution

The fourth proportional to 12,069.81, 18,101.88 and 3,634.65 is: 5,451.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,069.81 : 18,101.88 = 3,634.65 : x
  2. Step 2: Convert to fraction form
    12,069.81/18,101.88 = 3,634.65/x
  3. Step 3: Cross multiply
    12,069.81x = 18,101.88 × 3,634.65
  4. Step 4: Simplify right side
    12,069.81x = 65,793,998.14
  5. Step 5: Solve for x
    x = 65,793,998.14/12,069.81
  6. Step 6: Final answer
    x = 5,451.12

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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.