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Finding the Fourth Proportional to 25,679.80, 38,523.30 and 10,093.80

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Solution

The fourth proportional to 25,679.80, 38,523.30 and 10,093.80 is: 15,142.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,679.80 : 38,523.30 = 10,093.80 : x
  2. Step 2: Convert to fraction form
    25,679.80/38,523.30 = 10,093.80/x
  3. Step 3: Cross multiply
    25,679.80x = 38,523.30 × 10,093.80
  4. Step 4: Simplify right side
    25,679.80x = 388,846,485.54
  5. Step 5: Solve for x
    x = 388,846,485.54/25,679.80
  6. Step 6: Final answer
    x = 15,142.12

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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.