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Finding the Fourth Proportional to 20,098.37, 27,735.74 and 11,147.22

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Solution

The fourth proportional to 20,098.37, 27,735.74 and 11,147.22 is: 15,383.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,098.37 : 27,735.74 = 11,147.22 : x
  2. Step 2: Convert to fraction form
    20,098.37/27,735.74 = 11,147.22/x
  3. Step 3: Cross multiply
    20,098.37x = 27,735.74 × 11,147.22
  4. Step 4: Simplify right side
    20,098.37x = 309,176,339.91
  5. Step 5: Solve for x
    x = 309,176,339.91/20,098.37
  6. Step 6: Final answer
    x = 15,383.16

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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.