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Finding the Fourth Proportional to 20,288.61, 27,998.01 and 11,336.49

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Solution

The fourth proportional to 20,288.61, 27,998.01 and 11,336.49 is: 15,644.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,288.61 : 27,998.01 = 11,336.49 : x
  2. Step 2: Convert to fraction form
    20,288.61/27,998.01 = 11,336.49/x
  3. Step 3: Cross multiply
    20,288.61x = 27,998.01 × 11,336.49
  4. Step 4: Simplify right side
    20,288.61x = 317,399,160.38
  5. Step 5: Solve for x
    x = 317,399,160.38/20,288.61
  6. Step 6: Final answer
    x = 15,644.20

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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.