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Finding the Fourth Proportional to 24,149.36, 36,219.89 and 6,380.21

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Solution

The fourth proportional to 24,149.36, 36,219.89 and 6,380.21 is: 9,569.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,149.36 : 36,219.89 = 6,380.21 : x
  2. Step 2: Convert to fraction form
    24,149.36/36,219.89 = 6,380.21/x
  3. Step 3: Cross multiply
    24,149.36x = 36,219.89 × 6,380.21
  4. Step 4: Simplify right side
    24,149.36x = 231,090,610.88
  5. Step 5: Solve for x
    x = 231,090,610.88/24,149.36
  6. Step 6: Final answer
    x = 9,569.22

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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.