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Finding the Fourth Proportional to 20,175.78, 27,842.67 and 12,218.10

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Solution

The fourth proportional to 20,175.78, 27,842.67 and 12,218.10 is: 16,861.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,175.78 : 27,842.67 = 12,218.10 : x
  2. Step 2: Convert to fraction form
    20,175.78/27,842.67 = 12,218.10/x
  3. Step 3: Cross multiply
    20,175.78x = 27,842.67 × 12,218.10
  4. Step 4: Simplify right side
    20,175.78x = 340,184,526.33
  5. Step 5: Solve for x
    x = 340,184,526.33/20,175.78
  6. Step 6: Final answer
    x = 16,861.03

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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.