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Finding the Fourth Proportional to 18,731.97, 25,850.16 and 10,234.17

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Solution

The fourth proportional to 18,731.97, 25,850.16 and 10,234.17 is: 14,123.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,731.97 : 25,850.16 = 10,234.17 : x
  2. Step 2: Convert to fraction form
    18,731.97/25,850.16 = 10,234.17/x
  3. Step 3: Cross multiply
    18,731.97x = 25,850.16 × 10,234.17
  4. Step 4: Simplify right side
    18,731.97x = 264,554,931.97
  5. Step 5: Solve for x
    x = 264,554,931.97/18,731.97
  6. Step 6: Final answer
    x = 14,123.18

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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.