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Finding the Fourth Proportional to 11,809.80, 17,682.30 and 9,217.80

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Solution

The fourth proportional to 11,809.80, 17,682.30 and 9,217.80 is: 13,801.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,809.80 : 17,682.30 = 9,217.80 : x
  2. Step 2: Convert to fraction form
    11,809.80/17,682.30 = 9,217.80/x
  3. Step 3: Cross multiply
    11,809.80x = 17,682.30 × 9,217.80
  4. Step 4: Simplify right side
    11,809.80x = 162,991,904.94
  5. Step 5: Solve for x
    x = 162,991,904.94/11,809.80
  6. Step 6: Final answer
    x = 13,801.41

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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.