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Finding the Fourth Proportional to 21,149.22, 29,189.04 and 12,195

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Solution

The fourth proportional to 21,149.22, 29,189.04 and 12,195 is: 16,830.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,149.22 : 29,189.04 = 12,195 : x
  2. Step 2: Convert to fraction form
    21,149.22/29,189.04 = 12,195/x
  3. Step 3: Cross multiply
    21,149.22x = 29,189.04 × 12,195
  4. Step 4: Simplify right side
    21,149.22x = 355,960,342.80
  5. Step 5: Solve for x
    x = 355,960,342.80/21,149.22
  6. Step 6: Final answer
    x = 16,830.90

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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.