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Finding the Fourth Proportional to 17,148.96, 25,726.32 and 5,464.80

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Solution

The fourth proportional to 17,148.96, 25,726.32 and 5,464.80 is: 8,198.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,148.96 : 25,726.32 = 5,464.80 : x
  2. Step 2: Convert to fraction form
    17,148.96/25,726.32 = 5,464.80/x
  3. Step 3: Cross multiply
    17,148.96x = 25,726.32 × 5,464.80
  4. Step 4: Simplify right side
    17,148.96x = 140,589,193.54
  5. Step 5: Solve for x
    x = 140,589,193.54/17,148.96
  6. Step 6: Final answer
    x = 8,198.12

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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.