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Finding the Fourth Proportional to 25,673.10, 38,513.70 and 8,144.70

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Solution

The fourth proportional to 25,673.10, 38,513.70 and 8,144.70 is: 12,218.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,673.10 : 38,513.70 = 8,144.70 : x
  2. Step 2: Convert to fraction form
    25,673.10/38,513.70 = 8,144.70/x
  3. Step 3: Cross multiply
    25,673.10x = 38,513.70 × 8,144.70
  4. Step 4: Simplify right side
    25,673.10x = 313,682,532.39
  5. Step 5: Solve for x
    x = 313,682,532.39/25,673.10
  6. Step 6: Final answer
    x = 12,218.33

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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.