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Finding the Fourth Proportional to 14,493.88, 19,997.01 and 8,119.61

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Solution

The fourth proportional to 14,493.88, 19,997.01 and 8,119.61 is: 11,202.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,493.88 : 19,997.01 = 8,119.61 : x
  2. Step 2: Convert to fraction form
    14,493.88/19,997.01 = 8,119.61/x
  3. Step 3: Cross multiply
    14,493.88x = 19,997.01 × 8,119.61
  4. Step 4: Simplify right side
    14,493.88x = 162,367,822.38
  5. Step 5: Solve for x
    x = 162,367,822.38/14,493.88
  6. Step 6: Final answer
    x = 11,202.51

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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.