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Finding the Fourth Proportional to 21,172.40, 29,219.70 and 11,744

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Solution

The fourth proportional to 21,172.40, 29,219.70 and 11,744 is: 16,207.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,172.40 : 29,219.70 = 11,744 : x
  2. Step 2: Convert to fraction form
    21,172.40/29,219.70 = 11,744/x
  3. Step 3: Cross multiply
    21,172.40x = 29,219.70 × 11,744
  4. Step 4: Simplify right side
    21,172.40x = 343,156,156.80
  5. Step 5: Solve for x
    x = 343,156,156.80/21,172.40
  6. Step 6: Final answer
    x = 16,207.71

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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.