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Finding the Fourth Proportional to 20,364.24, 30,525.05 and 8,524.80

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Solution

The fourth proportional to 20,364.24, 30,525.05 and 8,524.80 is: 12,778.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,364.24 : 30,525.05 = 8,524.80 : x
  2. Step 2: Convert to fraction form
    20,364.24/30,525.05 = 8,524.80/x
  3. Step 3: Cross multiply
    20,364.24x = 30,525.05 × 8,524.80
  4. Step 4: Simplify right side
    20,364.24x = 260,219,903.62
  5. Step 5: Solve for x
    x = 260,219,903.62/20,364.24
  6. Step 6: Final answer
    x = 12,778.28

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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.