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Finding the Fourth Proportional to 21,471.26, 32,209.10 and 7,431.27

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Solution

The fourth proportional to 21,471.26, 32,209.10 and 7,431.27 is: 11,147.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,471.26 : 32,209.10 = 7,431.27 : x
  2. Step 2: Convert to fraction form
    21,471.26/32,209.10 = 7,431.27/x
  3. Step 3: Cross multiply
    21,471.26x = 32,209.10 × 7,431.27
  4. Step 4: Simplify right side
    21,471.26x = 239,354,518.56
  5. Step 5: Solve for x
    x = 239,354,518.56/21,471.26
  6. Step 6: Final answer
    x = 11,147.67

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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.