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Finding the Fourth Proportional to 20,161, 27,822.18 and 11,329

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Solution

The fourth proportional to 20,161, 27,822.18 and 11,329 is: 15,634.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,161 : 27,822.18 = 11,329 : x
  2. Step 2: Convert to fraction form
    20,161/27,822.18 = 11,329/x
  3. Step 3: Cross multiply
    20,161x = 27,822.18 × 11,329
  4. Step 4: Simplify right side
    20,161x = 315,197,477.22
  5. Step 5: Solve for x
    x = 315,197,477.22/20,161
  6. Step 6: Final answer
    x = 15,634.02

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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.