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Finding the Fourth Proportional to 17,771.33, 26,627.82 and 6,078.17

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Solution

The fourth proportional to 17,771.33, 26,627.82 and 6,078.17 is: 9,107.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,771.33 : 26,627.82 = 6,078.17 : x
  2. Step 2: Convert to fraction form
    17,771.33/26,627.82 = 6,078.17/x
  3. Step 3: Cross multiply
    17,771.33x = 26,627.82 × 6,078.17
  4. Step 4: Simplify right side
    17,771.33x = 161,848,416.69
  5. Step 5: Solve for x
    x = 161,848,416.69/17,771.33
  6. Step 6: Final answer
    x = 9,107.28

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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.