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Finding the Fourth Proportional to 14,114.10, 21,172.14 and 4,253.46

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Solution

The fourth proportional to 14,114.10, 21,172.14 and 4,253.46 is: 6,380.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,114.10 : 21,172.14 = 4,253.46 : x
  2. Step 2: Convert to fraction form
    14,114.10/21,172.14 = 4,253.46/x
  3. Step 3: Cross multiply
    14,114.10x = 21,172.14 × 4,253.46
  4. Step 4: Simplify right side
    14,114.10x = 90,054,850.60
  5. Step 5: Solve for x
    x = 90,054,850.60/14,114.10
  6. Step 6: Final answer
    x = 6,380.49

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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.