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Finding the Fourth Proportional to 12,193.74, 18,273.04 and 7,184.29

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Solution

The fourth proportional to 12,193.74, 18,273.04 and 7,184.29 is: 10,766.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,193.74 : 18,273.04 = 7,184.29 : x
  2. Step 2: Convert to fraction form
    12,193.74/18,273.04 = 7,184.29/x
  3. Step 3: Cross multiply
    12,193.74x = 18,273.04 × 7,184.29
  4. Step 4: Simplify right side
    12,193.74x = 131,278,818.54
  5. Step 5: Solve for x
    x = 131,278,818.54/12,193.74
  6. Step 6: Final answer
    x = 10,766.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.