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Finding the Fourth Proportional to 24,500.44, 36,732.52 and 7,850.84

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Solution

The fourth proportional to 24,500.44, 36,732.52 and 7,850.84 is: 11,770.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,500.44 : 36,732.52 = 7,850.84 : x
  2. Step 2: Convert to fraction form
    24,500.44/36,732.52 = 7,850.84/x
  3. Step 3: Cross multiply
    24,500.44x = 36,732.52 × 7,850.84
  4. Step 4: Simplify right side
    24,500.44x = 288,381,137.32
  5. Step 5: Solve for x
    x = 288,381,137.32/24,500.44
  6. Step 6: Final answer
    x = 11,770.45

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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.