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Finding the Fourth Proportional to 24,433.30, 36,649.27 and 7,794.33

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Solution

The fourth proportional to 24,433.30, 36,649.27 and 7,794.33 is: 11,691.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,433.30 : 36,649.27 = 7,794.33 : x
  2. Step 2: Convert to fraction form
    24,433.30/36,649.27 = 7,794.33/x
  3. Step 3: Cross multiply
    24,433.30x = 36,649.27 × 7,794.33
  4. Step 4: Simplify right side
    24,433.30x = 285,656,504.64
  5. Step 5: Solve for x
    x = 285,656,504.64/24,433.30
  6. Step 6: Final answer
    x = 11,691.28

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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.