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Finding the Fourth Proportional to 20,382.27, 28,121.38 and 12,836.07

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Solution

The fourth proportional to 20,382.27, 28,121.38 and 12,836.07 is: 17,709.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,382.27 : 28,121.38 = 12,836.07 : x
  2. Step 2: Convert to fraction form
    20,382.27/28,121.38 = 12,836.07/x
  3. Step 3: Cross multiply
    20,382.27x = 28,121.38 × 12,836.07
  4. Step 4: Simplify right side
    20,382.27x = 360,967,970.09
  5. Step 5: Solve for x
    x = 360,967,970.09/20,382.27
  6. Step 6: Final answer
    x = 17,709.90

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Why These Related Problems?

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