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Finding the Fourth Proportional to 25,523.24, 38,284.87 and 7,994.44

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Solution

The fourth proportional to 25,523.24, 38,284.87 and 7,994.44 is: 11,991.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,523.24 : 38,284.87 = 7,994.44 : x
  2. Step 2: Convert to fraction form
    25,523.24/38,284.87 = 7,994.44/x
  3. Step 3: Cross multiply
    25,523.24x = 38,284.87 × 7,994.44
  4. Step 4: Simplify right side
    25,523.24x = 306,065,980.42
  5. Step 5: Solve for x
    x = 306,065,980.42/25,523.24
  6. Step 6: Final answer
    x = 11,991.66

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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.