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Finding the Fourth Proportional to 20,048, 27,663.93 and 11,094.26

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Solution

The fourth proportional to 20,048, 27,663.93 and 11,094.26 is: 15,308.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,048 : 27,663.93 = 11,094.26 : x
  2. Step 2: Convert to fraction form
    20,048/27,663.93 = 11,094.26/x
  3. Step 3: Cross multiply
    20,048x = 27,663.93 × 11,094.26
  4. Step 4: Simplify right side
    20,048x = 306,910,832.04
  5. Step 5: Solve for x
    x = 306,910,832.04/20,048
  6. Step 6: Final answer
    x = 15,308.80

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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.