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Finding the Fourth Proportional to 13,025.72, 17,975.44 and 7,057.44

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Solution

The fourth proportional to 13,025.72, 17,975.44 and 7,057.44 is: 9,739.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,025.72 : 17,975.44 = 7,057.44 : x
  2. Step 2: Convert to fraction form
    13,025.72/17,975.44 = 7,057.44/x
  3. Step 3: Cross multiply
    13,025.72x = 17,975.44 × 7,057.44
  4. Step 4: Simplify right side
    13,025.72x = 126,860,589.27
  5. Step 5: Solve for x
    x = 126,860,589.27/13,025.72
  6. Step 6: Final answer
    x = 9,739.24

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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.