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Finding the Fourth Proportional to 25,501.44, 38,251.92 and 7,982.64

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Solution

The fourth proportional to 25,501.44, 38,251.92 and 7,982.64 is: 11,973.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,501.44 : 38,251.92 = 7,982.64 : x
  2. Step 2: Convert to fraction form
    25,501.44/38,251.92 = 7,982.64/x
  3. Step 3: Cross multiply
    25,501.44x = 38,251.92 × 7,982.64
  4. Step 4: Simplify right side
    25,501.44x = 305,351,306.67
  5. Step 5: Solve for x
    x = 305,351,306.67/25,501.44
  6. Step 6: Final answer
    x = 11,973.88

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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.