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Finding the Fourth Proportional to 25,676.16, 38,512.80 and 8,145.60

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Solution

The fourth proportional to 25,676.16, 38,512.80 and 8,145.60 is: 12,217.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,676.16 : 38,512.80 = 8,145.60 : x
  2. Step 2: Convert to fraction form
    25,676.16/38,512.80 = 8,145.60/x
  3. Step 3: Cross multiply
    25,676.16x = 38,512.80 × 8,145.60
  4. Step 4: Simplify right side
    25,676.16x = 313,709,863.68
  5. Step 5: Solve for x
    x = 313,709,863.68/25,676.16
  6. Step 6: Final answer
    x = 12,217.94

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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.