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Finding the Fourth Proportional to 20,168.82, 27,821.41 and 16,746.46

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Solution

The fourth proportional to 20,168.82, 27,821.41 and 16,746.46 is: 23,100.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,168.82 : 27,821.41 = 16,746.46 : x
  2. Step 2: Convert to fraction form
    20,168.82/27,821.41 = 16,746.46/x
  3. Step 3: Cross multiply
    20,168.82x = 27,821.41 × 16,746.46
  4. Step 4: Simplify right side
    20,168.82x = 465,910,018.29
  5. Step 5: Solve for x
    x = 465,910,018.29/20,168.82
  6. Step 6: Final answer
    x = 23,100.51

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1.5x scale

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.