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Finding the Fourth Proportional to 25,717.40, 38,567.78 and 8,183.12

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Solution

The fourth proportional to 25,717.40, 38,567.78 and 8,183.12 is: 12,272.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,717.40 : 38,567.78 = 8,183.12 : x
  2. Step 2: Convert to fraction form
    25,717.40/38,567.78 = 8,183.12/x
  3. Step 3: Cross multiply
    25,717.40x = 38,567.78 × 8,183.12
  4. Step 4: Simplify right side
    25,717.40x = 315,604,771.87
  5. Step 5: Solve for x
    x = 315,604,771.87/25,717.40
  6. Step 6: Final answer
    x = 12,272.03

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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.