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Finding the Fourth Proportional to 20,159.91, 27,820.53 and 11,661.93

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Solution

The fourth proportional to 20,159.91, 27,820.53 and 11,661.93 is: 16,093.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,159.91 : 27,820.53 = 11,661.93 : x
  2. Step 2: Convert to fraction form
    20,159.91/27,820.53 = 11,661.93/x
  3. Step 3: Cross multiply
    20,159.91x = 27,820.53 × 11,661.93
  4. Step 4: Simplify right side
    20,159.91x = 324,441,073.42
  5. Step 5: Solve for x
    x = 324,441,073.42/20,159.91
  6. Step 6: Final answer
    x = 16,093.38

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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.