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Finding the Fourth Proportional to 25,677.45, 38,512.26 and 8,145

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Solution

The fourth proportional to 25,677.45, 38,512.26 and 8,145 is: 12,216.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,677.45 : 38,512.26 = 8,145 : x
  2. Step 2: Convert to fraction form
    25,677.45/38,512.26 = 8,145/x
  3. Step 3: Cross multiply
    25,677.45x = 38,512.26 × 8,145
  4. Step 4: Simplify right side
    25,677.45x = 313,682,357.70
  5. Step 5: Solve for x
    x = 313,682,357.70/25,677.45
  6. Step 6: Final answer
    x = 12,216.26

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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.