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Finding the Fourth Proportional to 12,414.20, 18,605.10 and 5,012.60

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Solution

The fourth proportional to 12,414.20, 18,605.10 and 5,012.60 is: 7,512.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,414.20 : 18,605.10 = 5,012.60 : x
  2. Step 2: Convert to fraction form
    12,414.20/18,605.10 = 5,012.60/x
  3. Step 3: Cross multiply
    12,414.20x = 18,605.10 × 5,012.60
  4. Step 4: Simplify right side
    12,414.20x = 93,259,924.26
  5. Step 5: Solve for x
    x = 93,259,924.26/12,414.20
  6. Step 6: Final answer
    x = 7,512.36

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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.