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Finding the Fourth Proportional to 27,782.87, 38,338.89 and 15,205.19

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Solution

The fourth proportional to 27,782.87, 38,338.89 and 15,205.19 is: 20,982.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,782.87 : 38,338.89 = 15,205.19 : x
  2. Step 2: Convert to fraction form
    27,782.87/38,338.89 = 15,205.19/x
  3. Step 3: Cross multiply
    27,782.87x = 38,338.89 × 15,205.19
  4. Step 4: Simplify right side
    27,782.87x = 582,950,106.84
  5. Step 5: Solve for x
    x = 582,950,106.84/27,782.87
  6. Step 6: Final answer
    x = 20,982.36

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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.