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Finding the Fourth Proportional to 16,234.02, 22,403.43 and 9,942.84

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Solution

The fourth proportional to 16,234.02, 22,403.43 and 9,942.84 is: 13,721.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,234.02 : 22,403.43 = 9,942.84 : x
  2. Step 2: Convert to fraction form
    16,234.02/22,403.43 = 9,942.84/x
  3. Step 3: Cross multiply
    16,234.02x = 22,403.43 × 9,942.84
  4. Step 4: Simplify right side
    16,234.02x = 222,753,719.94
  5. Step 5: Solve for x
    x = 222,753,719.94/16,234.02
  6. Step 6: Final answer
    x = 13,721.41

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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.