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Finding the Fourth Proportional to 19,795, 27,316.30 and 11,841.62

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Solution

The fourth proportional to 19,795, 27,316.30 and 11,841.62 is: 16,340.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,795 : 27,316.30 = 11,841.62 : x
  2. Step 2: Convert to fraction form
    19,795/27,316.30 = 11,841.62/x
  3. Step 3: Cross multiply
    19,795x = 27,316.30 × 11,841.62
  4. Step 4: Simplify right side
    19,795x = 323,469,244.41
  5. Step 5: Solve for x
    x = 323,469,244.41/19,795
  6. Step 6: Final answer
    x = 16,340.96

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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.