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Finding the Fourth Proportional to 25,524.16, 38,286.82 and 7,994.52

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Solution

The fourth proportional to 25,524.16, 38,286.82 and 7,994.52 is: 11,991.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,524.16 : 38,286.82 = 7,994.52 : x
  2. Step 2: Convert to fraction form
    25,524.16/38,286.82 = 7,994.52/x
  3. Step 3: Cross multiply
    25,524.16x = 38,286.82 × 7,994.52
  4. Step 4: Simplify right side
    25,524.16x = 306,084,748.23
  5. Step 5: Solve for x
    x = 306,084,748.23/25,524.16
  6. Step 6: Final answer
    x = 11,991.96

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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.