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Finding the Fourth Proportional to 16,274.52, 24,414.62 and 7,960.28

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Solution

The fourth proportional to 16,274.52, 24,414.62 and 7,960.28 is: 11,941.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,274.52 : 24,414.62 = 7,960.28 : x
  2. Step 2: Convert to fraction form
    16,274.52/24,414.62 = 7,960.28/x
  3. Step 3: Cross multiply
    16,274.52x = 24,414.62 × 7,960.28
  4. Step 4: Simplify right side
    16,274.52x = 194,347,049.42
  5. Step 5: Solve for x
    x = 194,347,049.42/16,274.52
  6. Step 6: Final answer
    x = 11,941.80

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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.