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Finding the Fourth Proportional to 17,736, 24,457.50 and 11,687.82

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Solution

The fourth proportional to 17,736, 24,457.50 and 11,687.82 is: 16,117.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,736 : 24,457.50 = 11,687.82 : x
  2. Step 2: Convert to fraction form
    17,736/24,457.50 = 11,687.82/x
  3. Step 3: Cross multiply
    17,736x = 24,457.50 × 11,687.82
  4. Step 4: Simplify right side
    17,736x = 285,854,857.65
  5. Step 5: Solve for x
    x = 285,854,857.65/17,736
  6. Step 6: Final answer
    x = 16,117.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.