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Finding the Fourth Proportional to 12,191.09, 18,278.74 and 8,018.46

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Solution

The fourth proportional to 12,191.09, 18,278.74 and 8,018.46 is: 12,022.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,191.09 : 18,278.74 = 8,018.46 : x
  2. Step 2: Convert to fraction form
    12,191.09/18,278.74 = 8,018.46/x
  3. Step 3: Cross multiply
    12,191.09x = 18,278.74 × 8,018.46
  4. Step 4: Simplify right side
    12,191.09x = 146,567,355.56
  5. Step 5: Solve for x
    x = 146,567,355.56/12,191.09
  6. Step 6: Final answer
    x = 12,022.50

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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.