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Finding the Fourth Proportional to 15,101.25, 20,839.60 and 8,295.38

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Solution

The fourth proportional to 15,101.25, 20,839.60 and 8,295.38 is: 11,447.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,101.25 : 20,839.60 = 8,295.38 : x
  2. Step 2: Convert to fraction form
    15,101.25/20,839.60 = 8,295.38/x
  3. Step 3: Cross multiply
    15,101.25x = 20,839.60 × 8,295.38
  4. Step 4: Simplify right side
    15,101.25x = 172,872,401.05
  5. Step 5: Solve for x
    x = 172,872,401.05/15,101.25
  6. Step 6: Final answer
    x = 11,447.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.