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Finding the Fourth Proportional to 20,026.26, 27,637.54 and 11,529.44

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Solution

The fourth proportional to 20,026.26, 27,637.54 and 11,529.44 is: 15,911.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,026.26 : 27,637.54 = 11,529.44 : x
  2. Step 2: Convert to fraction form
    20,026.26/27,637.54 = 11,529.44/x
  3. Step 3: Cross multiply
    20,026.26x = 27,637.54 × 11,529.44
  4. Step 4: Simplify right side
    20,026.26x = 318,645,359.18
  5. Step 5: Solve for x
    x = 318,645,359.18/20,026.26
  6. Step 6: Final answer
    x = 15,911.38

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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.