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Finding the Fourth Proportional to 14,163, 19,535.28 and 8,493.84

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Solution

The fourth proportional to 14,163, 19,535.28 and 8,493.84 is: 11,715.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,163 : 19,535.28 = 8,493.84 : x
  2. Step 2: Convert to fraction form
    14,163/19,535.28 = 8,493.84/x
  3. Step 3: Cross multiply
    14,163x = 19,535.28 × 8,493.84
  4. Step 4: Simplify right side
    14,163x = 165,929,542.68
  5. Step 5: Solve for x
    x = 165,929,542.68/14,163
  6. Step 6: Final answer
    x = 11,715.71

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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.