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Finding the Fourth Proportional to 12,820.13, 17,684.93 and 8,843.21

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Solution

The fourth proportional to 12,820.13, 17,684.93 and 8,843.21 is: 12,198.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,820.13 : 17,684.93 = 8,843.21 : x
  2. Step 2: Convert to fraction form
    12,820.13/17,684.93 = 8,843.21/x
  3. Step 3: Cross multiply
    12,820.13x = 17,684.93 × 8,843.21
  4. Step 4: Simplify right side
    12,820.13x = 156,391,505.61
  5. Step 5: Solve for x
    x = 156,391,505.61/12,820.13
  6. Step 6: Final answer
    x = 12,198.90

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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.