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Finding the Fourth Proportional to 17,184.22, 25,777.17 and 5,346.05

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Solution

The fourth proportional to 17,184.22, 25,777.17 and 5,346.05 is: 8,019.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,184.22 : 25,777.17 = 5,346.05 : x
  2. Step 2: Convert to fraction form
    17,184.22/25,777.17 = 5,346.05/x
  3. Step 3: Cross multiply
    17,184.22x = 25,777.17 × 5,346.05
  4. Step 4: Simplify right side
    17,184.22x = 137,805,910.79
  5. Step 5: Solve for x
    x = 137,805,910.79/17,184.22
  6. Step 6: Final answer
    x = 8,019.33

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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.