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Finding the Fourth Proportional to 18,206.63, 27,274.95 and 11,166.11

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Solution

The fourth proportional to 18,206.63, 27,274.95 and 11,166.11 is: 16,727.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,206.63 : 27,274.95 = 11,166.11 : x
  2. Step 2: Convert to fraction form
    18,206.63/27,274.95 = 11,166.11/x
  3. Step 3: Cross multiply
    18,206.63x = 27,274.95 × 11,166.11
  4. Step 4: Simplify right side
    18,206.63x = 304,555,091.94
  5. Step 5: Solve for x
    x = 304,555,091.94/18,206.63
  6. Step 6: Final answer
    x = 16,727.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.