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Finding the Fourth Proportional to 16,544.24, 24,809.60 and 8,221.20

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Solution

The fourth proportional to 16,544.24, 24,809.60 and 8,221.20 is: 12,328.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,544.24 : 24,809.60 = 8,221.20 : x
  2. Step 2: Convert to fraction form
    16,544.24/24,809.60 = 8,221.20/x
  3. Step 3: Cross multiply
    16,544.24x = 24,809.60 × 8,221.20
  4. Step 4: Simplify right side
    16,544.24x = 203,964,683.52
  5. Step 5: Solve for x
    x = 203,964,683.52/16,544.24
  6. Step 6: Final answer
    x = 12,328.44

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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.