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Finding the Fourth Proportional to 25,524.86, 38,288.63 and 7,996.05

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Solution

The fourth proportional to 25,524.86, 38,288.63 and 7,996.05 is: 11,994.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,524.86 : 38,288.63 = 7,996.05 : x
  2. Step 2: Convert to fraction form
    25,524.86/38,288.63 = 7,996.05/x
  3. Step 3: Cross multiply
    25,524.86x = 38,288.63 × 7,996.05
  4. Step 4: Simplify right side
    25,524.86x = 306,157,819.90
  5. Step 5: Solve for x
    x = 306,157,819.90/25,524.86
  6. Step 6: Final answer
    x = 11,994.50

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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.