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Finding the Fourth Proportional to 16,214.40, 24,309.81 and 10,936.31

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Solution

The fourth proportional to 16,214.40, 24,309.81 and 10,936.31 is: 16,396.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,214.40 : 24,309.81 = 10,936.31 : x
  2. Step 2: Convert to fraction form
    16,214.40/24,309.81 = 10,936.31/x
  3. Step 3: Cross multiply
    16,214.40x = 24,309.81 × 10,936.31
  4. Step 4: Simplify right side
    16,214.40x = 265,859,496.65
  5. Step 5: Solve for x
    x = 265,859,496.65/16,214.40
  6. Step 6: Final answer
    x = 16,396.51

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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.