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Finding the Fourth Proportional to 25,615.50, 38,414 and 10,825.56

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Solution

The fourth proportional to 25,615.50, 38,414 and 10,825.56 is: 16,234.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,615.50 : 38,414 = 10,825.56 : x
  2. Step 2: Convert to fraction form
    25,615.50/38,414 = 10,825.56/x
  3. Step 3: Cross multiply
    25,615.50x = 38,414 × 10,825.56
  4. Step 4: Simplify right side
    25,615.50x = 415,853,061.84
  5. Step 5: Solve for x
    x = 415,853,061.84/25,615.50
  6. Step 6: Final answer
    x = 16,234.43

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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.