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Finding the Fourth Proportional to 25,673.75, 38,516.78 and 8,143.57

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Solution

The fourth proportional to 25,673.75, 38,516.78 and 8,143.57 is: 12,217.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,673.75 : 38,516.78 = 8,143.57 : x
  2. Step 2: Convert to fraction form
    25,673.75/38,516.78 = 8,143.57/x
  3. Step 3: Cross multiply
    25,673.75x = 38,516.78 × 8,143.57
  4. Step 4: Simplify right side
    25,673.75x = 313,664,094.10
  5. Step 5: Solve for x
    x = 313,664,094.10/25,673.75
  6. Step 6: Final answer
    x = 12,217.31

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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.