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Finding the Fourth Proportional to 16,222.03, 24,289.08 and 8,414.44

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Solution

The fourth proportional to 16,222.03, 24,289.08 and 8,414.44 is: 12,598.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,222.03 : 24,289.08 = 8,414.44 : x
  2. Step 2: Convert to fraction form
    16,222.03/24,289.08 = 8,414.44/x
  3. Step 3: Cross multiply
    16,222.03x = 24,289.08 × 8,414.44
  4. Step 4: Simplify right side
    16,222.03x = 204,378,964.24
  5. Step 5: Solve for x
    x = 204,378,964.24/16,222.03
  6. Step 6: Final answer
    x = 12,598.85

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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.