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Finding the Fourth Proportional to 18,024.68, 24,874.24 and 10,065.97

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Solution

The fourth proportional to 18,024.68, 24,874.24 and 10,065.97 is: 13,891.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,024.68 : 24,874.24 = 10,065.97 : x
  2. Step 2: Convert to fraction form
    18,024.68/24,874.24 = 10,065.97/x
  3. Step 3: Cross multiply
    18,024.68x = 24,874.24 × 10,065.97
  4. Step 4: Simplify right side
    18,024.68x = 250,383,378.41
  5. Step 5: Solve for x
    x = 250,383,378.41/18,024.68
  6. Step 6: Final answer
    x = 13,891.14

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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.