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Finding the Fourth Proportional to 20,287.68, 27,998.08 and 11,335.38

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Solution

The fourth proportional to 20,287.68, 27,998.08 and 11,335.38 is: 15,643.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,287.68 : 27,998.08 = 11,335.38 : x
  2. Step 2: Convert to fraction form
    20,287.68/27,998.08 = 11,335.38/x
  3. Step 3: Cross multiply
    20,287.68x = 27,998.08 × 11,335.38
  4. Step 4: Simplify right side
    20,287.68x = 317,368,876.07
  5. Step 5: Solve for x
    x = 317,368,876.07/20,287.68
  6. Step 6: Final answer
    x = 15,643.43

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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.