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Finding the Fourth Proportional to 24,434.30, 36,650.77 and 7,795.33

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Solution

The fourth proportional to 24,434.30, 36,650.77 and 7,795.33 is: 11,692.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,434.30 : 36,650.77 = 7,795.33 : x
  2. Step 2: Convert to fraction form
    24,434.30/36,650.77 = 7,795.33/x
  3. Step 3: Cross multiply
    24,434.30x = 36,650.77 × 7,795.33
  4. Step 4: Simplify right side
    24,434.30x = 285,704,846.90
  5. Step 5: Solve for x
    x = 285,704,846.90/24,434.30
  6. Step 6: Final answer
    x = 11,692.78

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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.