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Finding the Fourth Proportional to 24,213.69, 36,375.21 and 14,359.43

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Solution

The fourth proportional to 24,213.69, 36,375.21 and 14,359.43 is: 21,571.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,213.69 : 36,375.21 = 14,359.43 : x
  2. Step 2: Convert to fraction form
    24,213.69/36,375.21 = 14,359.43/x
  3. Step 3: Cross multiply
    24,213.69x = 36,375.21 × 14,359.43
  4. Step 4: Simplify right side
    24,213.69x = 522,327,119.00
  5. Step 5: Solve for x
    x = 522,327,119.00/24,213.69
  6. Step 6: Final answer
    x = 21,571.57

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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.