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Finding the Fourth Proportional to 23,212.44, 32,032.26 and 13,141.44

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Solution

The fourth proportional to 23,212.44, 32,032.26 and 13,141.44 is: 18,134.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,212.44 : 32,032.26 = 13,141.44 : x
  2. Step 2: Convert to fraction form
    23,212.44/32,032.26 = 13,141.44/x
  3. Step 3: Cross multiply
    23,212.44x = 32,032.26 × 13,141.44
  4. Step 4: Simplify right side
    23,212.44x = 420,950,022.85
  5. Step 5: Solve for x
    x = 420,950,022.85/23,212.44
  6. Step 6: Final answer
    x = 18,134.67

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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.