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Finding the Fourth Proportional to 11,231.79, 16,834.58 and 8,449.51

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Solution

The fourth proportional to 11,231.79, 16,834.58 and 8,449.51 is: 12,664.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,231.79 : 16,834.58 = 8,449.51 : x
  2. Step 2: Convert to fraction form
    11,231.79/16,834.58 = 8,449.51/x
  3. Step 3: Cross multiply
    11,231.79x = 16,834.58 × 8,449.51
  4. Step 4: Simplify right side
    11,231.79x = 142,243,952.06
  5. Step 5: Solve for x
    x = 142,243,952.06/11,231.79
  6. Step 6: Final answer
    x = 12,664.41

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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.