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Finding the Fourth Proportional to 13,382.22, 18,466.92 and 7,414.14

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Solution

The fourth proportional to 13,382.22, 18,466.92 and 7,414.14 is: 10,231.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,382.22 : 18,466.92 = 7,414.14 : x
  2. Step 2: Convert to fraction form
    13,382.22/18,466.92 = 7,414.14/x
  3. Step 3: Cross multiply
    13,382.22x = 18,466.92 × 7,414.14
  4. Step 4: Simplify right side
    13,382.22x = 136,916,330.25
  5. Step 5: Solve for x
    x = 136,916,330.25/13,382.22
  6. Step 6: Final answer
    x = 10,231.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.