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Finding the Fourth Proportional to 20,771.38, 28,664.62 and 11,340.04

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Solution

The fourth proportional to 20,771.38, 28,664.62 and 11,340.04 is: 15,649.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,771.38 : 28,664.62 = 11,340.04 : x
  2. Step 2: Convert to fraction form
    20,771.38/28,664.62 = 11,340.04/x
  3. Step 3: Cross multiply
    20,771.38x = 28,664.62 × 11,340.04
  4. Step 4: Simplify right side
    20,771.38x = 325,057,794.06
  5. Step 5: Solve for x
    x = 325,057,794.06/20,771.38
  6. Step 6: Final answer
    x = 15,649.32

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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.