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Finding the Fourth Proportional to 16,278.53, 24,396.22 and 8,380.72

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Solution

The fourth proportional to 16,278.53, 24,396.22 and 8,380.72 is: 12,559.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,278.53 : 24,396.22 = 8,380.72 : x
  2. Step 2: Convert to fraction form
    16,278.53/24,396.22 = 8,380.72/x
  3. Step 3: Cross multiply
    16,278.53x = 24,396.22 × 8,380.72
  4. Step 4: Simplify right side
    16,278.53x = 204,457,929.85
  5. Step 5: Solve for x
    x = 204,457,929.85/16,278.53
  6. Step 6: Final answer
    x = 12,559.98

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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.