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Finding the Fourth Proportional to 20,513.67, 30,828.21 and 12,195.17

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Solution

The fourth proportional to 20,513.67, 30,828.21 and 12,195.17 is: 18,327.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,513.67 : 30,828.21 = 12,195.17 : x
  2. Step 2: Convert to fraction form
    20,513.67/30,828.21 = 12,195.17/x
  3. Step 3: Cross multiply
    20,513.67x = 30,828.21 × 12,195.17
  4. Step 4: Simplify right side
    20,513.67x = 375,955,261.75
  5. Step 5: Solve for x
    x = 375,955,261.75/20,513.67
  6. Step 6: Final answer
    x = 18,327.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.