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Finding the Fourth Proportional to 16,380.64, 24,563.94 and 7,614.64

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Solution

The fourth proportional to 16,380.64, 24,563.94 and 7,614.64 is: 11,418.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,380.64 : 24,563.94 = 7,614.64 : x
  2. Step 2: Convert to fraction form
    16,380.64/24,563.94 = 7,614.64/x
  3. Step 3: Cross multiply
    16,380.64x = 24,563.94 × 7,614.64
  4. Step 4: Simplify right side
    16,380.64x = 187,045,560.08
  5. Step 5: Solve for x
    x = 187,045,560.08/16,380.64
  6. Step 6: Final answer
    x = 11,418.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.