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Finding the Fourth Proportional to 17,847.38, 26,771.25 and 7,314.69

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Solution

The fourth proportional to 17,847.38, 26,771.25 and 7,314.69 is: 10,972.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,847.38 : 26,771.25 = 7,314.69 : x
  2. Step 2: Convert to fraction form
    17,847.38/26,771.25 = 7,314.69/x
  3. Step 3: Cross multiply
    17,847.38x = 26,771.25 × 7,314.69
  4. Step 4: Simplify right side
    17,847.38x = 195,823,394.66
  5. Step 5: Solve for x
    x = 195,823,394.66/17,847.38
  6. Step 6: Final answer
    x = 10,972.11

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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.