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Finding the Fourth Proportional to 19,633.34, 27,093.21 and 10,680.68

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Solution

The fourth proportional to 19,633.34, 27,093.21 and 10,680.68 is: 14,738.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,633.34 : 27,093.21 = 10,680.68 : x
  2. Step 2: Convert to fraction form
    19,633.34/27,093.21 = 10,680.68/x
  3. Step 3: Cross multiply
    19,633.34x = 27,093.21 × 10,680.68
  4. Step 4: Simplify right side
    19,633.34x = 289,373,906.18
  5. Step 5: Solve for x
    x = 289,373,906.18/19,633.34
  6. Step 6: Final answer
    x = 14,738.90

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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.