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Finding the Fourth Proportional to 20,524.32, 30,786.48 and 4,941.96

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Solution

The fourth proportional to 20,524.32, 30,786.48 and 4,941.96 is: 7,412.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,524.32 : 30,786.48 = 4,941.96 : x
  2. Step 2: Convert to fraction form
    20,524.32/30,786.48 = 4,941.96/x
  3. Step 3: Cross multiply
    20,524.32x = 30,786.48 × 4,941.96
  4. Step 4: Simplify right side
    20,524.32x = 152,145,552.70
  5. Step 5: Solve for x
    x = 152,145,552.70/20,524.32
  6. Step 6: Final answer
    x = 7,412.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.