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Finding the Fourth Proportional to 16,857.56, 25,285.62 and 5,765.24

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Solution

The fourth proportional to 16,857.56, 25,285.62 and 5,765.24 is: 8,647.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,857.56 : 25,285.62 = 5,765.24 : x
  2. Step 2: Convert to fraction form
    16,857.56/25,285.62 = 5,765.24/x
  3. Step 3: Cross multiply
    16,857.56x = 25,285.62 × 5,765.24
  4. Step 4: Simplify right side
    16,857.56x = 145,777,667.85
  5. Step 5: Solve for x
    x = 145,777,667.85/16,857.56
  6. Step 6: Final answer
    x = 8,647.61

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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.