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Finding the Fourth Proportional to 12,066.69, 18,096.54 and 4,167.15

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Solution

The fourth proportional to 12,066.69, 18,096.54 and 4,167.15 is: 6,249.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,066.69 : 18,096.54 = 4,167.15 : x
  2. Step 2: Convert to fraction form
    12,066.69/18,096.54 = 4,167.15/x
  3. Step 3: Cross multiply
    12,066.69x = 18,096.54 × 4,167.15
  4. Step 4: Simplify right side
    12,066.69x = 75,410,996.66
  5. Step 5: Solve for x
    x = 75,410,996.66/12,066.69
  6. Step 6: Final answer
    x = 6,249.52

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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.