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Finding the Fourth Proportional to 22,272.29, 30,735.75 and 12,201.36

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Solution

The fourth proportional to 22,272.29, 30,735.75 and 12,201.36 is: 16,837.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,272.29 : 30,735.75 = 12,201.36 : x
  2. Step 2: Convert to fraction form
    22,272.29/30,735.75 = 12,201.36/x
  3. Step 3: Cross multiply
    22,272.29x = 30,735.75 × 12,201.36
  4. Step 4: Simplify right side
    22,272.29x = 375,017,950.62
  5. Step 5: Solve for x
    x = 375,017,950.62/22,272.29
  6. Step 6: Final answer
    x = 16,837.87

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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.