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Finding the Fourth Proportional to 16,449.96, 24,673.98 and 4,137

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Solution

The fourth proportional to 16,449.96, 24,673.98 and 4,137 is: 6,205.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,449.96 : 24,673.98 = 4,137 : x
  2. Step 2: Convert to fraction form
    16,449.96/24,673.98 = 4,137/x
  3. Step 3: Cross multiply
    16,449.96x = 24,673.98 × 4,137
  4. Step 4: Simplify right side
    16,449.96x = 102,076,255.26
  5. Step 5: Solve for x
    x = 102,076,255.26/16,449.96
  6. Step 6: Final answer
    x = 6,205.26

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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.