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Finding the Fourth Proportional to 16,809.96, 25,213.17 and 7,450.14

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Solution

The fourth proportional to 16,809.96, 25,213.17 and 7,450.14 is: 11,174.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,809.96 : 25,213.17 = 7,450.14 : x
  2. Step 2: Convert to fraction form
    16,809.96/25,213.17 = 7,450.14/x
  3. Step 3: Cross multiply
    16,809.96x = 25,213.17 × 7,450.14
  4. Step 4: Simplify right side
    16,809.96x = 187,841,646.34
  5. Step 5: Solve for x
    x = 187,841,646.34/16,809.96
  6. Step 6: Final answer
    x = 11,174.43

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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.