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Finding the Fourth Proportional to 16,167.53, 24,257.21 and 6,809.90

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Solution

The fourth proportional to 16,167.53, 24,257.21 and 6,809.90 is: 10,217.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,167.53 : 24,257.21 = 6,809.90 : x
  2. Step 2: Convert to fraction form
    16,167.53/24,257.21 = 6,809.90/x
  3. Step 3: Cross multiply
    16,167.53x = 24,257.21 × 6,809.90
  4. Step 4: Simplify right side
    16,167.53x = 165,189,019.04
  5. Step 5: Solve for x
    x = 165,189,019.04/16,167.53
  6. Step 6: Final answer
    x = 10,217.33

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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.