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Finding the Fourth Proportional to 20,175.94, 27,846.21 and 11,678.30

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Solution

The fourth proportional to 20,175.94, 27,846.21 and 11,678.30 is: 16,118.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,175.94 : 27,846.21 = 11,678.30 : x
  2. Step 2: Convert to fraction form
    20,175.94/27,846.21 = 11,678.30/x
  3. Step 3: Cross multiply
    20,175.94x = 27,846.21 × 11,678.30
  4. Step 4: Simplify right side
    20,175.94x = 325,196,394.24
  5. Step 5: Solve for x
    x = 325,196,394.24/20,175.94
  6. Step 6: Final answer
    x = 16,118.03

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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.