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Finding the Fourth Proportional to 20,176.56, 27,843.71 and 11,224.13

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Solution

The fourth proportional to 20,176.56, 27,843.71 and 11,224.13 is: 15,489.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,176.56 : 27,843.71 = 11,224.13 : x
  2. Step 2: Convert to fraction form
    20,176.56/27,843.71 = 11,224.13/x
  3. Step 3: Cross multiply
    20,176.56x = 27,843.71 × 11,224.13
  4. Step 4: Simplify right side
    20,176.56x = 312,521,225.38
  5. Step 5: Solve for x
    x = 312,521,225.38/20,176.56
  6. Step 6: Final answer
    x = 15,489.32

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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.