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Finding the Fourth Proportional to 21,709.81, 29,960.75 and 12,149.48

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Solution

The fourth proportional to 21,709.81, 29,960.75 and 12,149.48 is: 16,766.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,709.81 : 29,960.75 = 12,149.48 : x
  2. Step 2: Convert to fraction form
    21,709.81/29,960.75 = 12,149.48/x
  3. Step 3: Cross multiply
    21,709.81x = 29,960.75 × 12,149.48
  4. Step 4: Simplify right side
    21,709.81x = 364,007,532.91
  5. Step 5: Solve for x
    x = 364,007,532.91/21,709.81
  6. Step 6: Final answer
    x = 16,766.96

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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.