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Finding the Fourth Proportional to 16,209.98, 24,317.56 and 6,850.09

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Solution

The fourth proportional to 16,209.98, 24,317.56 and 6,850.09 is: 10,276.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,209.98 : 24,317.56 = 6,850.09 : x
  2. Step 2: Convert to fraction form
    16,209.98/24,317.56 = 6,850.09/x
  3. Step 3: Cross multiply
    16,209.98x = 24,317.56 × 6,850.09
  4. Step 4: Simplify right side
    16,209.98x = 166,577,422.35
  5. Step 5: Solve for x
    x = 166,577,422.35/16,209.98
  6. Step 6: Final answer
    x = 10,276.23

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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.