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Finding the Fourth Proportional to 12,241.85, 18,361.62 and 5,668.07

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Solution

The fourth proportional to 12,241.85, 18,361.62 and 5,668.07 is: 8,501.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,241.85 : 18,361.62 = 5,668.07 : x
  2. Step 2: Convert to fraction form
    12,241.85/18,361.62 = 5,668.07/x
  3. Step 3: Cross multiply
    12,241.85x = 18,361.62 × 5,668.07
  4. Step 4: Simplify right side
    12,241.85x = 104,074,855.67
  5. Step 5: Solve for x
    x = 104,074,855.67/12,241.85
  6. Step 6: Final answer
    x = 8,501.57

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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.