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Finding the Fourth Proportional to 16,954.95, 25,433.84 and 5,857.14

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Solution

The fourth proportional to 16,954.95, 25,433.84 and 5,857.14 is: 8,786.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,954.95 : 25,433.84 = 5,857.14 : x
  2. Step 2: Convert to fraction form
    16,954.95/25,433.84 = 5,857.14/x
  3. Step 3: Cross multiply
    16,954.95x = 25,433.84 × 5,857.14
  4. Step 4: Simplify right side
    16,954.95x = 148,969,561.62
  5. Step 5: Solve for x
    x = 148,969,561.62/16,954.95
  6. Step 6: Final answer
    x = 8,786.20

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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.