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Finding the Fourth Proportional to 20,175.43, 27,842.39 and 12,218.40

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Solution

The fourth proportional to 20,175.43, 27,842.39 and 12,218.40 is: 16,861.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,175.43 : 27,842.39 = 12,218.40 : x
  2. Step 2: Convert to fraction form
    20,175.43/27,842.39 = 12,218.40/x
  3. Step 3: Cross multiply
    20,175.43x = 27,842.39 × 12,218.40
  4. Step 4: Simplify right side
    20,175.43x = 340,189,457.98
  5. Step 5: Solve for x
    x = 340,189,457.98/20,175.43
  6. Step 6: Final answer
    x = 16,861.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.