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Finding the Fourth Proportional to 12,934.17, 19,403.73 and 4,166.73

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Solution

The fourth proportional to 12,934.17, 19,403.73 and 4,166.73 is: 6,250.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,934.17 : 19,403.73 = 4,166.73 : x
  2. Step 2: Convert to fraction form
    12,934.17/19,403.73 = 4,166.73/x
  3. Step 3: Cross multiply
    12,934.17x = 19,403.73 × 4,166.73
  4. Step 4: Simplify right side
    12,934.17x = 80,850,103.90
  5. Step 5: Solve for x
    x = 80,850,103.90/12,934.17
  6. Step 6: Final answer
    x = 6,250.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.