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Finding the Fourth Proportional to 12,382.54, 18,573.15 and 4,061.46

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Solution

The fourth proportional to 12,382.54, 18,573.15 and 4,061.46 is: 6,091.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,382.54 : 18,573.15 = 4,061.46 : x
  2. Step 2: Convert to fraction form
    12,382.54/18,573.15 = 4,061.46/x
  3. Step 3: Cross multiply
    12,382.54x = 18,573.15 × 4,061.46
  4. Step 4: Simplify right side
    12,382.54x = 75,434,086.20
  5. Step 5: Solve for x
    x = 75,434,086.20/12,382.54
  6. Step 6: Final answer
    x = 6,091.97

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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.