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Finding the Fourth Proportional to 20,471.80, 28,251.64 and 11,519.62

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Solution

The fourth proportional to 20,471.80, 28,251.64 and 11,519.62 is: 15,897.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,471.80 : 28,251.64 = 11,519.62 : x
  2. Step 2: Convert to fraction form
    20,471.80/28,251.64 = 11,519.62/x
  3. Step 3: Cross multiply
    20,471.80x = 28,251.64 × 11,519.62
  4. Step 4: Simplify right side
    20,471.80x = 325,448,128.38
  5. Step 5: Solve for x
    x = 325,448,128.38/20,471.80
  6. Step 6: Final answer
    x = 15,897.39

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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.