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Finding the Fourth Proportional to 17,165.36, 25,747.68 and 5,478.38

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Solution

The fourth proportional to 17,165.36, 25,747.68 and 5,478.38 is: 8,217.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,165.36 : 25,747.68 = 5,478.38 : x
  2. Step 2: Convert to fraction form
    17,165.36/25,747.68 = 5,478.38/x
  3. Step 3: Cross multiply
    17,165.36x = 25,747.68 × 5,478.38
  4. Step 4: Simplify right side
    17,165.36x = 141,055,575.16
  5. Step 5: Solve for x
    x = 141,055,575.16/17,165.36
  6. Step 6: Final answer
    x = 8,217.46

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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.