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Finding the Fourth Proportional to 18,540.97, 25,577.68 and 12,164.95

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Solution

The fourth proportional to 18,540.97, 25,577.68 and 12,164.95 is: 16,781.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,540.97 : 25,577.68 = 12,164.95 : x
  2. Step 2: Convert to fraction form
    18,540.97/25,577.68 = 12,164.95/x
  3. Step 3: Cross multiply
    18,540.97x = 25,577.68 × 12,164.95
  4. Step 4: Simplify right side
    18,540.97x = 311,151,198.32
  5. Step 5: Solve for x
    x = 311,151,198.32/18,540.97
  6. Step 6: Final answer
    x = 16,781.82

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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.