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Finding the Fourth Proportional to 22,021.87, 30,348.22 and 21,617

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Solution

The fourth proportional to 22,021.87, 30,348.22 and 21,617 is: 29,790.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,021.87 : 30,348.22 = 21,617 : x
  2. Step 2: Convert to fraction form
    22,021.87/30,348.22 = 21,617/x
  3. Step 3: Cross multiply
    22,021.87x = 30,348.22 × 21,617
  4. Step 4: Simplify right side
    22,021.87x = 656,037,471.74
  5. Step 5: Solve for x
    x = 656,037,471.74/22,021.87
  6. Step 6: Final answer
    x = 29,790.27

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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.