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Finding the Fourth Proportional to 18,205.50, 27,282.85 and 13,759.51

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Solution

The fourth proportional to 18,205.50, 27,282.85 and 13,759.51 is: 20,620.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,205.50 : 27,282.85 = 13,759.51 : x
  2. Step 2: Convert to fraction form
    18,205.50/27,282.85 = 13,759.51/x
  3. Step 3: Cross multiply
    18,205.50x = 27,282.85 × 13,759.51
  4. Step 4: Simplify right side
    18,205.50x = 375,398,647.40
  5. Step 5: Solve for x
    x = 375,398,647.40/18,205.50
  6. Step 6: Final answer
    x = 20,620.07

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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.