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Finding the Fourth Proportional to 20,189, 27,864.66 and 11,357

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Solution

The fourth proportional to 20,189, 27,864.66 and 11,357 is: 15,674.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,189 : 27,864.66 = 11,357 : x
  2. Step 2: Convert to fraction form
    20,189/27,864.66 = 11,357/x
  3. Step 3: Cross multiply
    20,189x = 27,864.66 × 11,357
  4. Step 4: Simplify right side
    20,189x = 316,458,943.62
  5. Step 5: Solve for x
    x = 316,458,943.62/20,189
  6. Step 6: Final answer
    x = 15,674.82

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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.