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Finding the Fourth Proportional to 20,274.38, 27,968.93 and 12,716.92

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Solution

The fourth proportional to 20,274.38, 27,968.93 and 12,716.92 is: 17,543.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,274.38 : 27,968.93 = 12,716.92 : x
  2. Step 2: Convert to fraction form
    20,274.38/27,968.93 = 12,716.92/x
  3. Step 3: Cross multiply
    20,274.38x = 27,968.93 × 12,716.92
  4. Step 4: Simplify right side
    20,274.38x = 355,678,645.30
  5. Step 5: Solve for x
    x = 355,678,645.30/20,274.38
  6. Step 6: Final answer
    x = 17,543.26

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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.