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Finding the Fourth Proportional to 24,382.62, 33,647.81 and 13,204.62

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Solution

The fourth proportional to 24,382.62, 33,647.81 and 13,204.62 is: 18,222.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,382.62 : 33,647.81 = 13,204.62 : x
  2. Step 2: Convert to fraction form
    24,382.62/33,647.81 = 13,204.62/x
  3. Step 3: Cross multiply
    24,382.62x = 33,647.81 × 13,204.62
  4. Step 4: Simplify right side
    24,382.62x = 444,306,478.86
  5. Step 5: Solve for x
    x = 444,306,478.86/24,382.62
  6. Step 6: Final answer
    x = 18,222.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.