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Finding the Fourth Proportional to 22,451.94, 33,676.70 and 6,869.57

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Solution

The fourth proportional to 22,451.94, 33,676.70 and 6,869.57 is: 10,303.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,451.94 : 33,676.70 = 6,869.57 : x
  2. Step 2: Convert to fraction form
    22,451.94/33,676.70 = 6,869.57/x
  3. Step 3: Cross multiply
    22,451.94x = 33,676.70 × 6,869.57
  4. Step 4: Simplify right side
    22,451.94x = 231,344,245.29
  5. Step 5: Solve for x
    x = 231,344,245.29/22,451.94
  6. Step 6: Final answer
    x = 10,303.98

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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.