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Finding the Fourth Proportional to 12,382.16, 18,573.26 and 3,022.20

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Solution

The fourth proportional to 12,382.16, 18,573.26 and 3,022.20 is: 4,533.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,382.16 : 18,573.26 = 3,022.20 : x
  2. Step 2: Convert to fraction form
    12,382.16/18,573.26 = 3,022.20/x
  3. Step 3: Cross multiply
    12,382.16x = 18,573.26 × 3,022.20
  4. Step 4: Simplify right side
    12,382.16x = 56,132,091.26
  5. Step 5: Solve for x
    x = 56,132,091.26/12,382.16
  6. Step 6: Final answer
    x = 4,533.31

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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.