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Finding the Fourth Proportional to 20,099.91, 27,738 and 11,147.52

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Solution

The fourth proportional to 20,099.91, 27,738 and 11,147.52 is: 15,383.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,099.91 : 27,738 = 11,147.52 : x
  2. Step 2: Convert to fraction form
    20,099.91/27,738 = 11,147.52/x
  3. Step 3: Cross multiply
    20,099.91x = 27,738 × 11,147.52
  4. Step 4: Simplify right side
    20,099.91x = 309,209,909.76
  5. Step 5: Solve for x
    x = 309,209,909.76/20,099.91
  6. Step 6: Final answer
    x = 15,383.65

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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.