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Finding the Fourth Proportional to 16,137.10, 24,194.55 and 8,224.30

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Solution

The fourth proportional to 16,137.10, 24,194.55 and 8,224.30 is: 12,330.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,137.10 : 24,194.55 = 8,224.30 : x
  2. Step 2: Convert to fraction form
    16,137.10/24,194.55 = 8,224.30/x
  3. Step 3: Cross multiply
    16,137.10x = 24,194.55 × 8,224.30
  4. Step 4: Simplify right side
    16,137.10x = 198,983,237.57
  5. Step 5: Solve for x
    x = 198,983,237.57/16,137.10
  6. Step 6: Final answer
    x = 12,330.79

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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.