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Finding the Fourth Proportional to 20,104.92, 27,744.21 and 11,030.22

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Solution

The fourth proportional to 20,104.92, 27,744.21 and 11,030.22 is: 15,221.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,104.92 : 27,744.21 = 11,030.22 : x
  2. Step 2: Convert to fraction form
    20,104.92/27,744.21 = 11,030.22/x
  3. Step 3: Cross multiply
    20,104.92x = 27,744.21 × 11,030.22
  4. Step 4: Simplify right side
    20,104.92x = 306,024,740.03
  5. Step 5: Solve for x
    x = 306,024,740.03/20,104.92
  6. Step 6: Final answer
    x = 15,221.39

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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.