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Finding the Fourth Proportional to 16,468, 24,702.12 and 4,156

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Solution

The fourth proportional to 16,468, 24,702.12 and 4,156 is: 6,234.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,468 : 24,702.12 = 4,156 : x
  2. Step 2: Convert to fraction form
    16,468/24,702.12 = 4,156/x
  3. Step 3: Cross multiply
    16,468x = 24,702.12 × 4,156
  4. Step 4: Simplify right side
    16,468x = 102,662,010.72
  5. Step 5: Solve for x
    x = 102,662,010.72/16,468
  6. Step 6: Final answer
    x = 6,234.03

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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.