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Finding the Fourth Proportional to 20,204.82, 27,872.88 and 13,032.84

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Solution

The fourth proportional to 20,204.82, 27,872.88 and 13,032.84 is: 17,979.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,204.82 : 27,872.88 = 13,032.84 : x
  2. Step 2: Convert to fraction form
    20,204.82/27,872.88 = 13,032.84/x
  3. Step 3: Cross multiply
    20,204.82x = 27,872.88 × 13,032.84
  4. Step 4: Simplify right side
    20,204.82x = 363,262,785.38
  5. Step 5: Solve for x
    x = 363,262,785.38/20,204.82
  6. Step 6: Final answer
    x = 17,979.02

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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.