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Finding the Fourth Proportional to 25,843.70, 38,740.94 and 8,301.23

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Solution

The fourth proportional to 25,843.70, 38,740.94 and 8,301.23 is: 12,443.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,843.70 : 38,740.94 = 8,301.23 : x
  2. Step 2: Convert to fraction form
    25,843.70/38,740.94 = 8,301.23/x
  3. Step 3: Cross multiply
    25,843.70x = 38,740.94 × 8,301.23
  4. Step 4: Simplify right side
    25,843.70x = 321,597,453.36
  5. Step 5: Solve for x
    x = 321,597,453.36/25,843.70
  6. Step 6: Final answer
    x = 12,443.94

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