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Finding the Fourth Proportional to 19,794.50, 27,315.61 and 11,841.12

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Solution

The fourth proportional to 19,794.50, 27,315.61 and 11,841.12 is: 16,340.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,794.50 : 27,315.61 = 11,841.12 : x
  2. Step 2: Convert to fraction form
    19,794.50/27,315.61 = 11,841.12/x
  3. Step 3: Cross multiply
    19,794.50x = 27,315.61 × 11,841.12
  4. Step 4: Simplify right side
    19,794.50x = 323,447,415.88
  5. Step 5: Solve for x
    x = 323,447,415.88/19,794.50
  6. Step 6: Final answer
    x = 16,340.27

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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.