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Finding the Fourth Proportional to 12,221.99, 18,276.94 and 9,104.15

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Solution

The fourth proportional to 12,221.99, 18,276.94 and 9,104.15 is: 13,614.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,221.99 : 18,276.94 = 9,104.15 : x
  2. Step 2: Convert to fraction form
    12,221.99/18,276.94 = 9,104.15/x
  3. Step 3: Cross multiply
    12,221.99x = 18,276.94 × 9,104.15
  4. Step 4: Simplify right side
    12,221.99x = 166,395,957.57
  5. Step 5: Solve for x
    x = 166,395,957.57/12,221.99
  6. Step 6: Final answer
    x = 13,614.47

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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.