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Finding the Fourth Proportional to 12,196.25, 16,834.80 and 7,160.34

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Solution

The fourth proportional to 12,196.25, 16,834.80 and 7,160.34 is: 9,883.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,196.25 : 16,834.80 = 7,160.34 : x
  2. Step 2: Convert to fraction form
    12,196.25/16,834.80 = 7,160.34/x
  3. Step 3: Cross multiply
    12,196.25x = 16,834.80 × 7,160.34
  4. Step 4: Simplify right side
    12,196.25x = 120,542,891.83
  5. Step 5: Solve for x
    x = 120,542,891.83/12,196.25
  6. Step 6: Final answer
    x = 9,883.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.