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Finding the Fourth Proportional to 16,522.11, 24,786 and 8,202.60

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Solution

The fourth proportional to 16,522.11, 24,786 and 8,202.60 is: 12,305.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,522.11 : 24,786 = 8,202.60 : x
  2. Step 2: Convert to fraction form
    16,522.11/24,786 = 8,202.60/x
  3. Step 3: Cross multiply
    16,522.11x = 24,786 × 8,202.60
  4. Step 4: Simplify right side
    16,522.11x = 203,309,643.60
  5. Step 5: Solve for x
    x = 203,309,643.60/16,522.11
  6. Step 6: Final answer
    x = 12,305.31

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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.