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Finding the Fourth Proportional to 24,493.84, 36,745.64 and 8,909.44

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Solution

The fourth proportional to 24,493.84, 36,745.64 and 8,909.44 is: 13,365.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,493.84 : 36,745.64 = 8,909.44 : x
  2. Step 2: Convert to fraction form
    24,493.84/36,745.64 = 8,909.44/x
  3. Step 3: Cross multiply
    24,493.84x = 36,745.64 × 8,909.44
  4. Step 4: Simplify right side
    24,493.84x = 327,383,074.84
  5. Step 5: Solve for x
    x = 327,383,074.84/24,493.84
  6. Step 6: Final answer
    x = 13,365.94

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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.