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Finding the Fourth Proportional to 22,563.60, 33,841.44 and 8,524.86

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Solution

The fourth proportional to 22,563.60, 33,841.44 and 8,524.86 is: 12,785.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,563.60 : 33,841.44 = 8,524.86 : x
  2. Step 2: Convert to fraction form
    22,563.60/33,841.44 = 8,524.86/x
  3. Step 3: Cross multiply
    22,563.60x = 33,841.44 × 8,524.86
  4. Step 4: Simplify right side
    22,563.60x = 288,493,538.20
  5. Step 5: Solve for x
    x = 288,493,538.20/22,563.60
  6. Step 6: Final answer
    x = 12,785.79

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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.