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Finding the Fourth Proportional to 25,676.46, 38,517.03 and 8,148.87

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Solution

The fourth proportional to 25,676.46, 38,517.03 and 8,148.87 is: 12,224.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,676.46 : 38,517.03 = 8,148.87 : x
  2. Step 2: Convert to fraction form
    25,676.46/38,517.03 = 8,148.87/x
  3. Step 3: Cross multiply
    25,676.46x = 38,517.03 × 8,148.87
  4. Step 4: Simplify right side
    25,676.46x = 313,870,270.26
  5. Step 5: Solve for x
    x = 313,870,270.26/25,676.46
  6. Step 6: Final answer
    x = 12,224.05

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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.