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Finding the Fourth Proportional to 24,869.69, 37,304.91 and 13,846.44

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Solution

The fourth proportional to 24,869.69, 37,304.91 and 13,846.44 is: 20,769.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,869.69 : 37,304.91 = 13,846.44 : x
  2. Step 2: Convert to fraction form
    24,869.69/37,304.91 = 13,846.44/x
  3. Step 3: Cross multiply
    24,869.69x = 37,304.91 × 13,846.44
  4. Step 4: Simplify right side
    24,869.69x = 516,540,198.02
  5. Step 5: Solve for x
    x = 516,540,198.02/24,869.69
  6. Step 6: Final answer
    x = 20,769.87

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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.