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Finding the Fourth Proportional to 12,396.38, 17,100.05 and 7,355.61

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Solution

The fourth proportional to 12,396.38, 17,100.05 and 7,355.61 is: 10,146.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,396.38 : 17,100.05 = 7,355.61 : x
  2. Step 2: Convert to fraction form
    12,396.38/17,100.05 = 7,355.61/x
  3. Step 3: Cross multiply
    12,396.38x = 17,100.05 × 7,355.61
  4. Step 4: Simplify right side
    12,396.38x = 125,781,262.00
  5. Step 5: Solve for x
    x = 125,781,262.00/12,396.38
  6. Step 6: Final answer
    x = 10,146.62

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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.