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Finding the Fourth Proportional to 16,192.78, 22,345.94 and 9,022.73

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Solution

The fourth proportional to 16,192.78, 22,345.94 and 9,022.73 is: 12,451.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,192.78 : 22,345.94 = 9,022.73 : x
  2. Step 2: Convert to fraction form
    16,192.78/22,345.94 = 9,022.73/x
  3. Step 3: Cross multiply
    16,192.78x = 22,345.94 × 9,022.73
  4. Step 4: Simplify right side
    16,192.78x = 201,621,294.04
  5. Step 5: Solve for x
    x = 201,621,294.04/16,192.78
  6. Step 6: Final answer
    x = 12,451.31

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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.