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Finding the Fourth Proportional to 18,072.72, 24,942.97 and 10,414.50

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Solution

The fourth proportional to 18,072.72, 24,942.97 and 10,414.50 is: 14,373.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,072.72 : 24,942.97 = 10,414.50 : x
  2. Step 2: Convert to fraction form
    18,072.72/24,942.97 = 10,414.50/x
  3. Step 3: Cross multiply
    18,072.72x = 24,942.97 × 10,414.50
  4. Step 4: Simplify right side
    18,072.72x = 259,768,561.07
  5. Step 5: Solve for x
    x = 259,768,561.07/18,072.72
  6. Step 6: Final answer
    x = 14,373.52

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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.