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Finding the Fourth Proportional to 13,676.82, 18,849.22 and 10,133.88

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Solution

The fourth proportional to 13,676.82, 18,849.22 and 10,133.88 is: 13,966.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,676.82 : 18,849.22 = 10,133.88 : x
  2. Step 2: Convert to fraction form
    13,676.82/18,849.22 = 10,133.88/x
  3. Step 3: Cross multiply
    13,676.82x = 18,849.22 × 10,133.88
  4. Step 4: Simplify right side
    13,676.82x = 191,015,733.57
  5. Step 5: Solve for x
    x = 191,015,733.57/13,676.82
  6. Step 6: Final answer
    x = 13,966.38

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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.