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Finding the Fourth Proportional to 22,676.85, 31,289.22 and 13,722.57

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Solution

The fourth proportional to 22,676.85, 31,289.22 and 13,722.57 is: 18,934.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,676.85 : 31,289.22 = 13,722.57 : x
  2. Step 2: Convert to fraction form
    22,676.85/31,289.22 = 13,722.57/x
  3. Step 3: Cross multiply
    22,676.85x = 31,289.22 × 13,722.57
  4. Step 4: Simplify right side
    22,676.85x = 429,368,511.70
  5. Step 5: Solve for x
    x = 429,368,511.70/22,676.85
  6. Step 6: Final answer
    x = 18,934.22

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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.