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Finding the Fourth Proportional to 16,393, 24,591.90 and 5,296

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Solution

The fourth proportional to 16,393, 24,591.90 and 5,296 is: 7,944.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,393 : 24,591.90 = 5,296 : x
  2. Step 2: Convert to fraction form
    16,393/24,591.90 = 5,296/x
  3. Step 3: Cross multiply
    16,393x = 24,591.90 × 5,296
  4. Step 4: Simplify right side
    16,393x = 130,238,702.40
  5. Step 5: Solve for x
    x = 130,238,702.40/16,393
  6. Step 6: Final answer
    x = 7,944.78

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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.