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Finding the Fourth Proportional to 14,114.10, 21,163.05 and 4,251.90

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Solution

The fourth proportional to 14,114.10, 21,163.05 and 4,251.90 is: 6,375.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,114.10 : 21,163.05 = 4,251.90 : x
  2. Step 2: Convert to fraction form
    14,114.10/21,163.05 = 4,251.90/x
  3. Step 3: Cross multiply
    14,114.10x = 21,163.05 × 4,251.90
  4. Step 4: Simplify right side
    14,114.10x = 89,983,172.30
  5. Step 5: Solve for x
    x = 89,983,172.30/14,114.10
  6. Step 6: Final answer
    x = 6,375.41

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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.