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Finding the Fourth Proportional to 12,855.22, 17,740.15 and 7,189.94

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Solution

The fourth proportional to 12,855.22, 17,740.15 and 7,189.94 is: 9,922.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,855.22 : 17,740.15 = 7,189.94 : x
  2. Step 2: Convert to fraction form
    12,855.22/17,740.15 = 7,189.94/x
  3. Step 3: Cross multiply
    12,855.22x = 17,740.15 × 7,189.94
  4. Step 4: Simplify right side
    12,855.22x = 127,550,640.47
  5. Step 5: Solve for x
    x = 127,550,640.47/12,855.22
  6. Step 6: Final answer
    x = 9,922.09

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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.