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Finding the Fourth Proportional to 12,414.09, 18,617.16 and 4,092.24

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Solution

The fourth proportional to 12,414.09, 18,617.16 and 4,092.24 is: 6,137.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,414.09 : 18,617.16 = 4,092.24 : x
  2. Step 2: Convert to fraction form
    12,414.09/18,617.16 = 4,092.24/x
  3. Step 3: Cross multiply
    12,414.09x = 18,617.16 × 4,092.24
  4. Step 4: Simplify right side
    12,414.09x = 76,185,886.84
  5. Step 5: Solve for x
    x = 76,185,886.84/12,414.09
  6. Step 6: Final answer
    x = 6,137.05

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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.