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Finding the Fourth Proportional to 22,498.26, 33,728.76 and 13,115.22

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Solution

The fourth proportional to 22,498.26, 33,728.76 and 13,115.22 is: 19,661.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,498.26 : 33,728.76 = 13,115.22 : x
  2. Step 2: Convert to fraction form
    22,498.26/33,728.76 = 13,115.22/x
  3. Step 3: Cross multiply
    22,498.26x = 33,728.76 × 13,115.22
  4. Step 4: Simplify right side
    22,498.26x = 442,360,107.73
  5. Step 5: Solve for x
    x = 442,360,107.73/22,498.26
  6. Step 6: Final answer
    x = 19,661.97

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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.