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Finding the Fourth Proportional to 25,765.72, 38,650.38 and 8,236.96

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Solution

The fourth proportional to 25,765.72, 38,650.38 and 8,236.96 is: 12,356.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,765.72 : 38,650.38 = 8,236.96 : x
  2. Step 2: Convert to fraction form
    25,765.72/38,650.38 = 8,236.96/x
  3. Step 3: Cross multiply
    25,765.72x = 38,650.38 × 8,236.96
  4. Step 4: Simplify right side
    25,765.72x = 318,361,634.04
  5. Step 5: Solve for x
    x = 318,361,634.04/25,765.72
  6. Step 6: Final answer
    x = 12,356.02

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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.