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Finding the Fourth Proportional to 12,382.40, 18,573.60 and 3,618.20

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Solution

The fourth proportional to 12,382.40, 18,573.60 and 3,618.20 is: 5,427.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,382.40 : 18,573.60 = 3,618.20 : x
  2. Step 2: Convert to fraction form
    12,382.40/18,573.60 = 3,618.20/x
  3. Step 3: Cross multiply
    12,382.40x = 18,573.60 × 3,618.20
  4. Step 4: Simplify right side
    12,382.40x = 67,202,999.52
  5. Step 5: Solve for x
    x = 67,202,999.52/12,382.40
  6. Step 6: Final answer
    x = 5,427.30

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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.