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Finding the Fourth Proportional to 20,084.96, 27,729.94 and 12,918.20

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Solution

The fourth proportional to 20,084.96, 27,729.94 and 12,918.20 is: 17,835.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,084.96 : 27,729.94 = 12,918.20 : x
  2. Step 2: Convert to fraction form
    20,084.96/27,729.94 = 12,918.20/x
  3. Step 3: Cross multiply
    20,084.96x = 27,729.94 × 12,918.20
  4. Step 4: Simplify right side
    20,084.96x = 358,220,910.91
  5. Step 5: Solve for x
    x = 358,220,910.91/20,084.96
  6. Step 6: Final answer
    x = 17,835.28

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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.