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Finding the Fourth Proportional to 12,484.96, 17,229.30 and 6,819.82

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Solution

The fourth proportional to 12,484.96, 17,229.30 and 6,819.82 is: 9,411.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,484.96 : 17,229.30 = 6,819.82 : x
  2. Step 2: Convert to fraction form
    12,484.96/17,229.30 = 6,819.82/x
  3. Step 3: Cross multiply
    12,484.96x = 17,229.30 × 6,819.82
  4. Step 4: Simplify right side
    12,484.96x = 117,500,724.73
  5. Step 5: Solve for x
    x = 117,500,724.73/12,484.96
  6. Step 6: Final answer
    x = 9,411.38

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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.