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Finding the Fourth Proportional to 24,350.76, 36,524.08 and 7,708.37

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Solution

The fourth proportional to 24,350.76, 36,524.08 and 7,708.37 is: 11,561.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,350.76 : 36,524.08 = 7,708.37 : x
  2. Step 2: Convert to fraction form
    24,350.76/36,524.08 = 7,708.37/x
  3. Step 3: Cross multiply
    24,350.76x = 36,524.08 × 7,708.37
  4. Step 4: Simplify right side
    24,350.76x = 281,540,949.56
  5. Step 5: Solve for x
    x = 281,540,949.56/24,350.76
  6. Step 6: Final answer
    x = 11,561.90

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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.