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Finding the Fourth Proportional to 24,380.65, 36,573.27 and 6,850.41

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Solution

The fourth proportional to 24,380.65, 36,573.27 and 6,850.41 is: 10,276.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,380.65 : 36,573.27 = 6,850.41 : x
  2. Step 2: Convert to fraction form
    24,380.65/36,573.27 = 6,850.41/x
  3. Step 3: Cross multiply
    24,380.65x = 36,573.27 × 6,850.41
  4. Step 4: Simplify right side
    24,380.65x = 250,541,894.54
  5. Step 5: Solve for x
    x = 250,541,894.54/24,380.65
  6. Step 6: Final answer
    x = 10,276.26

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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.