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Finding the Fourth Proportional to 12,172.62, 18,261.90 and 7,179.16

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Solution

The fourth proportional to 12,172.62, 18,261.90 and 7,179.16 is: 10,770.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,172.62 : 18,261.90 = 7,179.16 : x
  2. Step 2: Convert to fraction form
    12,172.62/18,261.90 = 7,179.16/x
  3. Step 3: Cross multiply
    12,172.62x = 18,261.90 × 7,179.16
  4. Step 4: Simplify right side
    12,172.62x = 131,105,102.00
  5. Step 5: Solve for x
    x = 131,105,102.00/12,172.62
  6. Step 6: Final answer
    x = 10,770.49

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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.