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Finding the Fourth Proportional to 16,502.43, 24,757.75 and 8,186.37

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Solution

The fourth proportional to 16,502.43, 24,757.75 and 8,186.37 is: 12,281.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,502.43 : 24,757.75 = 8,186.37 : x
  2. Step 2: Convert to fraction form
    16,502.43/24,757.75 = 8,186.37/x
  3. Step 3: Cross multiply
    16,502.43x = 24,757.75 × 8,186.37
  4. Step 4: Simplify right side
    16,502.43x = 202,676,019.26
  5. Step 5: Solve for x
    x = 202,676,019.26/16,502.43
  6. Step 6: Final answer
    x = 12,281.58

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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.