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Finding the Fourth Proportional to 17,090.86, 25,638.12 and 7,231.14

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Solution

The fourth proportional to 17,090.86, 25,638.12 and 7,231.14 is: 10,847.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,090.86 : 25,638.12 = 7,231.14 : x
  2. Step 2: Convert to fraction form
    17,090.86/25,638.12 = 7,231.14/x
  3. Step 3: Cross multiply
    17,090.86x = 25,638.12 × 7,231.14
  4. Step 4: Simplify right side
    17,090.86x = 185,392,706.87
  5. Step 5: Solve for x
    x = 185,392,706.87/17,090.86
  6. Step 6: Final answer
    x = 10,847.48

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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.