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Finding the Fourth Proportional to 19,722.91, 27,217.40 and 12,166.22

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Solution

The fourth proportional to 19,722.91, 27,217.40 and 12,166.22 is: 16,789.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,722.91 : 27,217.40 = 12,166.22 : x
  2. Step 2: Convert to fraction form
    19,722.91/27,217.40 = 12,166.22/x
  3. Step 3: Cross multiply
    19,722.91x = 27,217.40 × 12,166.22
  4. Step 4: Simplify right side
    19,722.91x = 331,132,679.31
  5. Step 5: Solve for x
    x = 331,132,679.31/19,722.91
  6. Step 6: Final answer
    x = 16,789.24

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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.