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Finding the Fourth Proportional to 13,986.22, 20,982.98 and 5,221.83

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Solution

The fourth proportional to 13,986.22, 20,982.98 and 5,221.83 is: 7,834.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,986.22 : 20,982.98 = 5,221.83 : x
  2. Step 2: Convert to fraction form
    13,986.22/20,982.98 = 5,221.83/x
  3. Step 3: Cross multiply
    13,986.22x = 20,982.98 × 5,221.83
  4. Step 4: Simplify right side
    13,986.22x = 109,569,554.45
  5. Step 5: Solve for x
    x = 109,569,554.45/13,986.22
  6. Step 6: Final answer
    x = 7,834.11

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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.