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Finding the Fourth Proportional to 25,695, 38,542.52 and 7,227

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Solution

The fourth proportional to 25,695, 38,542.52 and 7,227 is: 10,840.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,695 : 38,542.52 = 7,227 : x
  2. Step 2: Convert to fraction form
    25,695/38,542.52 = 7,227/x
  3. Step 3: Cross multiply
    25,695x = 38,542.52 × 7,227
  4. Step 4: Simplify right side
    25,695x = 278,546,792.04
  5. Step 5: Solve for x
    x = 278,546,792.04/25,695
  6. Step 6: Final answer
    x = 10,840.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.