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Finding the Fourth Proportional to 14,053.96, 21,080.90 and 4,193

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Solution

The fourth proportional to 14,053.96, 21,080.90 and 4,193 is: 6,289.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,053.96 : 21,080.90 = 4,193 : x
  2. Step 2: Convert to fraction form
    14,053.96/21,080.90 = 4,193/x
  3. Step 3: Cross multiply
    14,053.96x = 21,080.90 × 4,193
  4. Step 4: Simplify right side
    14,053.96x = 88,392,213.70
  5. Step 5: Solve for x
    x = 88,392,213.70/14,053.96
  6. Step 6: Final answer
    x = 6,289.49

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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.