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Finding the Fourth Proportional to 25,679.78, 38,519.54 and 8,150.96

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Solution

The fourth proportional to 25,679.78, 38,519.54 and 8,150.96 is: 12,226.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,679.78 : 38,519.54 = 8,150.96 : x
  2. Step 2: Convert to fraction form
    25,679.78/38,519.54 = 8,150.96/x
  3. Step 3: Cross multiply
    25,679.78x = 38,519.54 × 8,150.96
  4. Step 4: Simplify right side
    25,679.78x = 313,971,229.76
  5. Step 5: Solve for x
    x = 313,971,229.76/25,679.78
  6. Step 6: Final answer
    x = 12,226.40

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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.