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Finding the Fourth Proportional to 25,764.20, 38,651.84 and 7,994.50

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Solution

The fourth proportional to 25,764.20, 38,651.84 and 7,994.50 is: 11,993.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,764.20 : 38,651.84 = 7,994.50 : x
  2. Step 2: Convert to fraction form
    25,764.20/38,651.84 = 7,994.50/x
  3. Step 3: Cross multiply
    25,764.20x = 38,651.84 × 7,994.50
  4. Step 4: Simplify right side
    25,764.20x = 309,002,134.88
  5. Step 5: Solve for x
    x = 309,002,134.88/25,764.20
  6. Step 6: Final answer
    x = 11,993.47

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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.