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Finding the Fourth Proportional to 20,173.38, 27,841.74 and 12,215.40

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Solution

The fourth proportional to 20,173.38, 27,841.74 and 12,215.40 is: 16,858.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,173.38 : 27,841.74 = 12,215.40 : x
  2. Step 2: Convert to fraction form
    20,173.38/27,841.74 = 12,215.40/x
  3. Step 3: Cross multiply
    20,173.38x = 27,841.74 × 12,215.40
  4. Step 4: Simplify right side
    20,173.38x = 340,097,990.80
  5. Step 5: Solve for x
    x = 340,097,990.80/20,173.38
  6. Step 6: Final answer
    x = 16,858.75

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Why These Related Problems?

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