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Finding the Fourth Proportional to 21,861.21, 32,744.19 and 13,402.11

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Solution

The fourth proportional to 21,861.21, 32,744.19 and 13,402.11 is: 20,073.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,861.21 : 32,744.19 = 13,402.11 : x
  2. Step 2: Convert to fraction form
    21,861.21/32,744.19 = 13,402.11/x
  3. Step 3: Cross multiply
    21,861.21x = 32,744.19 × 13,402.11
  4. Step 4: Simplify right side
    21,861.21x = 438,841,236.24
  5. Step 5: Solve for x
    x = 438,841,236.24/21,861.21
  6. Step 6: Final answer
    x = 20,073.97

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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.