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Finding the Fourth Proportional to 17,822.41, 24,593.24 and 10,650.90

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Solution

The fourth proportional to 17,822.41, 24,593.24 and 10,650.90 is: 14,697.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,822.41 : 24,593.24 = 10,650.90 : x
  2. Step 2: Convert to fraction form
    17,822.41/24,593.24 = 10,650.90/x
  3. Step 3: Cross multiply
    17,822.41x = 24,593.24 × 10,650.90
  4. Step 4: Simplify right side
    17,822.41x = 261,940,139.92
  5. Step 5: Solve for x
    x = 261,940,139.92/17,822.41
  6. Step 6: Final answer
    x = 14,697.23

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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.