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Finding the Fourth Proportional to 14,983.20, 20,673.36 and 8,691.84

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Solution

The fourth proportional to 14,983.20, 20,673.36 and 8,691.84 is: 11,992.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,983.20 : 20,673.36 = 8,691.84 : x
  2. Step 2: Convert to fraction form
    14,983.20/20,673.36 = 8,691.84/x
  3. Step 3: Cross multiply
    14,983.20x = 20,673.36 × 8,691.84
  4. Step 4: Simplify right side
    14,983.20x = 179,689,537.38
  5. Step 5: Solve for x
    x = 179,689,537.38/14,983.20
  6. Step 6: Final answer
    x = 11,992.73

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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.